# 2880

## 2,880 is an even composite number composed of three prime numbers multiplied together.

What does the number 2880 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

2880 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

## Prime factorization of 2880:

### 26 × 32 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 2880 from the Numbermatics database.

### Names of 2880

• Cardinal: 2880 can be written as Two thousand, eight hundred eighty.

### Scientific notation

• Scientific notation: 2.88 × 103

### Factors of 2880

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 10

### Divisors of 2880

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 9906
• Sum of proper divisors (its aliquot sum) s(n): 7026
• 2880 is an abundant number, because the sum of its proper divisors (7026) is greater than itself. Its abundance is 4146

### Bases of 2880

• Binary: 1011010000002
• Base-36: 280

### Squares and roots of 2880

• 2880 squared (28802) is 8294400
• 2880 cubed (28803) is 23887872000
• The square root of 2880 is 53.6656314601
• The cube root of 2880 is 14.2275732179

### Scales and comparisons

How big is 2880?
• 2,880 seconds is equal to 48 minutes.
• To count from 1 to 2,880 would take you about forty-eight 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 2880 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2880

• 2880 backwards is 0882
• 2880 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2880's digits is 18
• More coming soon!