2400
Number 2400: Properties, Factors, and Mathematical Facts
Short answer
The number 2400 is an even composite number with 36 positive divisors. Its prime factorization is 2⁵ × 3 × 5². It is also an abundant number, which gives it several notable mathematical relationships.
Is 2400 prime?
ClassificationCompositeParityEvenDivisor count36AbundanceAbundant
What is the prime factorization of 2400?
Prime factorization
2 to the power of 5 times 3 times 5 squared
What are the divisors of 2400?
Divisor count
36
Divisor sum
7,812
Proper divisor sum
5,412
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 10
- 12
- 15
- 16
- 20
- 24
- 25
- 30
- 32
- 40
- 48
- 50
- 60
- 75
- 80
- 96
- 100
How is 2400 classified?
How is 2400 represented in other numeral systems?
Decimal
2400
Binary
100101100000
Octal
4540
Hexadecimal
960
Roman
MMCDLearn more →
In words
two thousand four hundred
Roots and powers
Square root
48.989795 Approximate
Cube root
13.388659 Approximate
Nearest lower square
2304
Nearest higher square
2401
Nearest lower cube
2197
Nearest higher cube
2744
What are the digit properties of 2400?
Which numbers are related to 2400?
Why these results are true
- 2400 is composite because it has positive divisors other than 1 and itself.
- 2400 is abundant because the sum of its proper divisors (5412) is greater than 2400.
Compare this number
FAQ for 2400
- Is 2400 prime?
- No
- What is the prime factorization of 2400?
- 2⁵ × 3 × 5²
- Is 2400 a perfect square?
- No
- What is 2400 in binary?
- 100101100000
- What is 2400 in Roman numerals?
- MMCD