2400564624 has 40 divisors (see below), whose sum is σ = 6306575520. Its totient is φ = 786624768.

The previous prime is 2400564623. The next prime is 2400564707. The reversal of 2400564624 is 4264650042.

It is a super-2 number, since 2×2400564624² = 11525421028000522752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400564623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420997 + ... + 426660.

It is an arithmetic number, because the mean of its divisors is an integer number (157664388).

Almost surely, 2^2400564624 is an apocalyptic number.

2400564624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400564624 is an abundant number, since it is smaller than the sum of its proper divisors (3906010896).

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

2400564624 is a wasteful number, since it uses less digits than its factorization.

2400564624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847727 (or 847721 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2400564624 is about 48995.5571863409. The cubic root of 2400564624 is about 1338.9708857957.

The spelling of 2400564624 in words is "two billion, four hundred million, five hundred sixty-four thousand, six hundred twenty-four".