2400921600 has 864 divisors, whose sum is σ = 10419645600. Its totient is φ = 481689600.

The previous prime is 2400921559. The next prime is 2400921613. The reversal of 2400921600 is 61290042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82790386 + ... + 82790414.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2^2400921600 is an apocalyptic number.

2400921600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209822800).

2400921600 is an abundant number, since it is smaller than the sum of its proper divisors (8018724000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2400921600 is a wasteful number, since it uses less digits than its factorization.

2400921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2400921600 is about 48999.1999934693. The cubic root of 2400921600 is about 1339.0372530683.

The spelling of 2400921600 in words is "two billion, four hundred million, nine hundred twenty-one thousand, six hundred".