# 2664

## 2,664 is an even composite number composed of three prime numbers multiplied together.

What does the number 2664 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

2664 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 2664:

### 23 × 32 × 37

(2 × 2 × 2 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 2664 from the Numbermatics database.

### Names of 2664

• Cardinal: 2664 can be written as Two thousand, six hundred sixty-four.

### Scientific notation

• Scientific notation: 2.664 × 103

### Factors of 2664

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 42

### Divisors of 2664

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 7410
• Sum of proper divisors (its aliquot sum) s(n): 4746
• 2664 is an abundant number, because the sum of its proper divisors (4746) is greater than itself. Its abundance is 2082

### Bases of 2664

• Binary: 1010011010002
• Base-36: 220

### Squares and roots of 2664

• 2664 squared (26642) is 7096896
• 2664 cubed (26643) is 18906130944
• The square root of 2664 is 51.6139516023
• The cube root of 2664 is 13.8626015369

### Scales and comparisons

How big is 2664?
• 2,664 seconds is equal to 44 minutes, 24 seconds.
• To count from 1 to 2,664 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 2664 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2664

• 2664 backwards is 4662
• 2664 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2664's digits is 18
• More coming soon!