2400564 has 24 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 796000.

The previous prime is 2400557. The next prime is 2400571. The reversal of 2400564 is 4650042.

It is a happy number.

2400564 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2400557) and next prime (2400571).

It is a self number, because there is not a number n which added to its sum of digits gives 2400564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2614 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (234612).

2^2400564 is an apocalyptic number.

It is an amenable number.

2400564 is an abundant number, since it is smaller than the sum of its proper divisors (3230124).

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

2400564 is a wasteful number, since it uses less digits than its factorization.

2400564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2400564 is about 1549.3753580072. The cubic root of 2400564 is about 133.8970769779.

The spelling of 2400564 in words is "two million, four hundred thousand, five hundred sixty-four".