2400024096 has 72 divisors (see below), whose sum is σ = 7226557884. Its totient is φ = 752947200.

The previous prime is 2400024089. The next prime is 2400024101. The reversal of 2400024096 is 6904200042.

It can be written as a sum of positive squares in 2 ways, for example, as 1881824400 + 518199696 = 43380^2 + 22764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2400024096² = 11520231322761234432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240205 + ... + 249996.

Almost surely, 2^2400024096 is an apocalyptic number.

It is an amenable number.

2400024096 is an abundant number, since it is smaller than the sum of its proper divisors (4826533788).

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

2400024096 is a wasteful number, since it uses less digits than its factorization.

2400024096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490234 (or 490223 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2400024096 is about 48990.0407838165. The cubic root of 2400024096 is about 1338.8703808872.

The spelling of 2400024096 in words is "two billion, four hundred million, twenty-four thousand, ninety-six".