# 2428800

## 2,428,800 is an even composite number composed of five prime numbers multiplied together.

What does the number 2428800 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.

2428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.

## Prime factorization of 2428800:

### 27 × 3 × 52 × 11 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 23)

See below for interesting mathematical facts about the number 2428800 from the Numbermatics database.

### Names of 2428800

• Cardinal: 2428800 can be written as Two million, four hundred twenty-eight thousand, eight hundred.

### Scientific notation

• Scientific notation: 2.4288 × 106

### Factors of 2428800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 44

### Divisors of 2428800

• Number of divisors d(n): 192
• Complete list of divisors:
• Sum of all divisors σ(n): 9106560
• Sum of proper divisors (its aliquot sum) s(n): 6677760
• 2428800 is an abundant number, because the sum of its proper divisors (6677760) is greater than itself. Its abundance is 4248960

### Bases of 2428800

• Binary: 10010100001111100000002
• Base-36: 1G22O

### Squares and roots of 2428800

• 2428800 squared (24288002) is 5899069440000
• 2428800 cubed (24288003) is 14327659855872000000
• The square root of 2428800 is 1558.4607791023
• The cube root of 2428800 is 134.4200083591

### Scales and comparisons

How big is 2428800?
• 2,428,800 seconds is equal to 4 weeks, 2 hours, 40 minutes.
• To count from 1 to 2,428,800 would take you about six weeks!

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 2428800 cubic inches would be around 11.2 feet tall.

### Recreational maths with 2428800

• 2428800 backwards is 0088242
• 2428800 is a Harshad number.
• The number of decimal digits it has is: 7
• The sum of 2428800's digits is 24
• More coming soon!