# 2000

## 2,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 2000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 20 divisors.

2000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 2000:

### 24 × 53

(2 × 2 × 2 × 2 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 2000 from the Numbermatics database.

### Names of 2000

• Cardinal: 2000 can be written as Two thousand.

### Scientific notation

• Scientific notation: 2 × 103

### Factors of 2000

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 7

### Divisors of 2000

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 4836
• Sum of proper divisors (its aliquot sum) s(n): 2836
• 2000 is an abundant number, because the sum of its proper divisors (2836) is greater than itself. Its abundance is 836

### Bases of 2000

• Binary: 111110100002
• Base-36: 1JK

### Squares and roots of 2000

• 2000 squared (20002) is 4000000
• 2000 cubed (20003) is 8000000000
• The square root of 2000 is 44.7213595499
• The cube root of 2000 is 12.5992104989

### Scales and comparisons

How big is 2000?
• 2,000 seconds is equal to 33 minutes, 20 seconds.
• To count from 1 to 2,000 would take you about thirty-three 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 2000 cubic inches would be around 1 feet tall.

### Recreational maths with 2000

• 2000 backwards is 0002
• 2000 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2000's digits is 2
• More coming soon!