# 2464

## 2,464 is an even composite number composed of three prime numbers multiplied together.

What does the number 2464 look like?

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

2464 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 2464:

### 25 × 7 × 11

(2 × 2 × 2 × 2 × 2 × 7 × 11)

See below for interesting mathematical facts about the number 2464 from the Numbermatics database.

### Names of 2464

• Cardinal: 2464 can be written as Two thousand, four hundred sixty-four.

### Scientific notation

• Scientific notation: 2.464 × 103

### Factors of 2464

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 20

### Divisors of 2464

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 6048
• Sum of proper divisors (its aliquot sum) s(n): 3584
• 2464 is an abundant number, because the sum of its proper divisors (3584) is greater than itself. Its abundance is 1120

### Bases of 2464

• Binary: 1001101000002
• Base-36: 1WG

### Squares and roots of 2464

• 2464 squared (24642) is 6071296
• 2464 cubed (24643) is 14959673344
• The square root of 2464 is 49.6386945839
• The cube root of 2464 is 13.5066268333

### Scales and comparisons

How big is 2464?
• 2,464 seconds is equal to 41 minutes, 4 seconds.
• To count from 1 to 2,464 would take you about forty-one 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 2464 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2464

• 2464 backwards is 4642
• 2464 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2464's digits is 16
• More coming soon!