# 2280

## 2,280 is an even composite number composed of four prime numbers multiplied together.

What does the number 2280 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

2280 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 2280:

### 23 × 3 × 5 × 19

(2 × 2 × 2 × 3 × 5 × 19)

See below for interesting mathematical facts about the number 2280 from the Numbermatics database.

### Names of 2280

• Cardinal: 2280 can be written as Two thousand, two hundred eighty.

### Scientific notation

• Scientific notation: 2.28 × 103

### Factors of 2280

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 29

### Divisors of 2280

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 7200
• Sum of proper divisors (its aliquot sum) s(n): 4920
• 2280 is an abundant number, because the sum of its proper divisors (4920) is greater than itself. Its abundance is 2640

### Bases of 2280

• Binary: 1000111010002
• Base-36: 1RC

### Squares and roots of 2280

• 2280 squared (22802) is 5198400
• 2280 cubed (22803) is 11852352000
• The square root of 2280 is 47.7493455453
• The cube root of 2280 is 13.1616887305

### Scales and comparisons

How big is 2280?
• 2,280 seconds is equal to 38 minutes.
• To count from 1 to 2,280 would take you about thirty-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 2280 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2280

• 2280 backwards is 0822
• 2280 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2280's digits is 12
• More coming soon!