2404564864 has 128 divisors (see below), whose sum is σ = 5505796800. Its totient is φ = 1036222464.

The previous prime is 2404564853. The next prime is 2404564891. The reversal of 2404564864 is 4684654042.

2404564864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2404564864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4723842 + ... + 4724350.

Almost surely, 2^2404564864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752898400).

2404564864 is an abundant number, since it is smaller than the sum of its proper divisors (3101231936).

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

2404564864 is a wasteful number, since it uses less digits than its factorization.

2404564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The square root of 2404564864 is about 49036.3626709812. The cubic root of 2404564864 is about 1339.7142154338.

The spelling of 2404564864 in words is "two billion, four hundred four million, five hundred sixty-four thousand, eight hundred sixty-four".