2564245400 has 24 divisors (see below), whose sum is σ = 5961871020. Its totient is φ = 1025698080.

The previous prime is 2564245393. The next prime is 2564245403. The reversal of 2564245400 is 45424652.

2564245400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564245403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6410414 + ... + 6410813.

Almost surely, 2^2564245400 is an apocalyptic number.

2564245400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564245400 is an abundant number, since it is smaller than the sum of its proper divisors (3397625620).

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

2564245400 is a wasteful number, since it uses less digits than its factorization.

2564245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12821243 (or 12821234 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 2564245400 is about 50638.3787260216. The cubic root of 2564245400 is about 1368.7365409462.

The spelling of 2564245400 in words is "two billion, five hundred sixty-four million, two hundred forty-five thousand, four hundred".