# 2010

## 2,010 is an even composite number composed of four prime numbers multiplied together.

What does the number 2010 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

2010 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 2010:

### 2 × 3 × 5 × 67

See below for interesting mathematical facts about the number 2010 from the Numbermatics database.

### Names of 2010

• Cardinal: 2010 can be written as Two thousand and ten.

### Scientific notation

• Scientific notation: 2.01 × 103

### Factors of 2010

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 77

### Divisors of 2010

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 4896
• Sum of proper divisors (its aliquot sum) s(n): 2886
• 2010 is an abundant number, because the sum of its proper divisors (2886) is greater than itself. Its abundance is 876

### Bases of 2010

• Binary: 111110110102
• Base-36: 1JU

### Squares and roots of 2010

• 2010 squared (20102) is 4040100
• 2010 cubed (20103) is 8120601000
• The square root of 2010 is 44.8330235431
• The cube root of 2010 is 12.6201742822

### Scales and comparisons

How big is 2010?
• 2,010 seconds is equal to 33 minutes, 30 seconds.
• To count from 1 to 2,010 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 2010 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2010

• 2010 backwards is 0102
• 2010 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2010's digits is 3
• More coming soon!