2564055252 has 36 divisors (see below), whose sum is σ = 7070577696. Its totient is φ = 776986320.

The previous prime is 2564055239. The next prime is 2564055283. The reversal of 2564055252 is 2525504652.

2564055252 is a `hidden beast` number, since 2 + 5 + 640 + 5 + 5 + 2 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3237048 + ... + 3237839.

It is an arithmetic number, because the mean of its divisors is an integer number (196404936).

Almost surely, 2^2564055252 is an apocalyptic number.

2564055252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2564055252 is an abundant number, since it is smaller than the sum of its proper divisors (4506522444).

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

2564055252 is a wasteful number, since it uses less digits than its factorization.

2564055252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474908 (or 6474903 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 2564055252 is about 50636.5011824474. The cubic root of 2564055252 is about 1368.7027078675.

The spelling of 2564055252 in words is "two billion, five hundred sixty-four million, fifty-five thousand, two hundred fifty-two".