# 2400

## 2,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 2400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

2400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 2400:

### 25 × 3 × 52

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 2400 from the Numbermatics database.

### Names of 2400

• Cardinal: 2400 can be written as Two thousand, four hundred.

### Scientific notation

• Scientific notation: 2.4 × 103

### Factors of 2400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 10

### Divisors of 2400

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 7812
• Sum of proper divisors (its aliquot sum) s(n): 5412
• 2400 is an abundant number, because the sum of its proper divisors (5412) is greater than itself. Its abundance is 3012

### Bases of 2400

• Binary: 1001011000002
• Base-36: 1UO

### Squares and roots of 2400

• 2400 squared (24002) is 5760000
• 2400 cubed (24003) is 13824000000
• The square root of 2400 is 48.9897948557
• The cube root of 2400 is 13.3886590017

### Scales and comparisons

How big is 2400?
• 2,400 seconds is equal to 40 minutes.
• To count from 1 to 2,400 would take you about forty minutes.

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 2400 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2400

• 2400 backwards is 0042
• 2400 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2400's digits is 6
• More coming soon!