2400472564 has 36 divisors (see below), whose sum is σ = 5055194340. Its totient is φ = 993296640.

The previous prime is 2400472553. The next prime is 2400472609. The reversal of 2400472564 is 4652740042.

2400472564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 389667600 + 2010804964 = 19740^2 + 44842^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 205477 + ... + 216844.

It is an arithmetic number, because the mean of its divisors is an integer number (140422065).

Almost surely, 2^2400472564 is an apocalyptic number.

It is an amenable number.

2400472564 is an abundant number, since it is smaller than the sum of its proper divisors (2654721776).

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

2400472564 is a wasteful number, since it uses less digits than its factorization.

2400472564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422368 (or 422359 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 2400472564 is about 48994.6177043969. The cubic root of 2400472564 is about 1338.9537693731.

The spelling of 2400472564 in words is "two billion, four hundred million, four hundred seventy-two thousand, five hundred sixty-four".