2564064801 has 48 divisors (see below), whose sum is σ = 4092291840. Its totient is φ = 1599659280.

The previous prime is 2564064791. The next prime is 2564064809. The reversal of 2564064801 is 1084604652.

2564064801 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 0 + 648 + 0 + 1 = 666.

It is not a de Polignac number, because 2564064801 - 2⁹ = 2564064289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2564064809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379866 + ... + 386556.

It is an arithmetic number, because the mean of its divisors is an integer number (85256080).

Almost surely, 2^2564064801 is an apocalyptic number.

It is an amenable number.

2564064801 is a deficient number, since it is larger than the sum of its proper divisors (1528227039).

2564064801 is an equidigital number, since it uses as much as digits as its factorization.

2564064801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2564064801 is about 50636.5954720497. The cubic root of 2564064801 is about 1368.7044069632.

The spelling of 2564064801 in words is "two billion, five hundred sixty-four million, sixty-four thousand, eight hundred one".