2564657011 has 24 divisors (see below), whose sum is σ = 3032527680. Its totient is φ = 2162345472.

The previous prime is 2564657003. The next prime is 2564657023. The reversal of 2564657011 is 1107564652.

It is a happy number.

It is not a de Polignac number, because 2564657011 - 2³ = 2564657003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2564657611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820710 + ... + 823828.

It is an arithmetic number, because the mean of its divisors is an integer number (126355320).

Almost surely, 2^2564657011 is an apocalyptic number.

2564657011 is a deficient number, since it is larger than the sum of its proper divisors (467870669).

2564657011 is a wasteful number, since it uses less digits than its factorization.

2564657011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 2564657011 is about 50642.4427827094. The cubic root of 2564657011 is about 1368.8097732603.

The spelling of 2564657011 in words is "two billion, five hundred sixty-four million, six hundred fifty-seven thousand, eleven".