# 2040

## 2,040 is an even composite number composed of four prime numbers multiplied together.

What does the number 2040 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

2040 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 2040:

### 23 × 3 × 5 × 17

(2 × 2 × 2 × 3 × 5 × 17)

See below for interesting mathematical facts about the number 2040 from the Numbermatics database.

### Names of 2040

• Cardinal: 2040 can be written as Two thousand and forty.

### Scientific notation

• Scientific notation: 2.04 × 103

### Factors of 2040

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 27

### Divisors of 2040

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 6480
• Sum of proper divisors (its aliquot sum) s(n): 4440
• 2040 is an abundant number, because the sum of its proper divisors (4440) is greater than itself. Its abundance is 2400

### Bases of 2040

• Binary: 111111110002
• Base-36: 1KO

### Squares and roots of 2040

• 2040 squared (20402) is 4161600
• 2040 cubed (20403) is 8489664000
• The square root of 2040 is 45.1663591625
• The cube root of 2040 is 12.6826514107

### Scales and comparisons

How big is 2040?
• 2,040 seconds is equal to 34 minutes.
• To count from 1 to 2,040 would take you about thirty-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 2040 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2040

• 2040 backwards is 0402
• 2040 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2040's digits is 6
• More coming soon!