# 2688

## 2,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 2688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

2688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 2688:

### 27 × 3 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7)

See below for interesting mathematical facts about the number 2688 from the Numbermatics database.

### Names of 2688

• Cardinal: 2688 can be written as Two thousand, six hundred eighty-eight.

### Scientific notation

• Scientific notation: 2.688 × 103

### Factors of 2688

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 12

### Divisors of 2688

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 8160
• Sum of proper divisors (its aliquot sum) s(n): 5472
• 2688 is an abundant number, because the sum of its proper divisors (5472) is greater than itself. Its abundance is 2784

### Bases of 2688

• Binary: 1010100000002
• Base-36: 22O

### Squares and roots of 2688

• 2688 squared (26882) is 7225344
• 2688 cubed (26883) is 19421724672
• The square root of 2688 is 51.8459255873
• The cube root of 2688 is 13.9041065793

### Scales and comparisons

How big is 2688?
• 2,688 seconds is equal to 44 minutes, 48 seconds.
• To count from 1 to 2,688 would take you about forty-four 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 2688 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2688

• 2688 backwards is 8862
• 2688 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2688's digits is 24
• More coming soon!