2564041365 has 32 divisors (see below), whose sum is σ = 4633036800. Its totient is φ = 1345066560.

The previous prime is 2564041349. The next prime is 2564041369. The reversal of 2564041365 is 5631404652.

2564041365 is a `hidden beast` number, since 2 + 5 + 640 + 4 + 1 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 2564041365 - 2⁴ = 2564041349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564041369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147445 + ... + 163914.

It is an arithmetic number, because the mean of its divisors is an integer number (144782400).

Almost surely, 2^2564041365 is an apocalyptic number.

It is an amenable number.

2564041365 is a deficient number, since it is larger than the sum of its proper divisors (2068995435).

2564041365 is a wasteful number, since it uses less digits than its factorization.

2564041365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311434 (or 311428 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2564041365 is about 50636.3640578587. The cubic root of 2564041365 is about 1368.7002368847.

The spelling of 2564041365 in words is "two billion, five hundred sixty-four million, forty-one thousand, three hundred sixty-five".