2564989776 has 60 divisors (see below), whose sum is σ = 7372435252. Its totient is φ = 831886848.

The previous prime is 2564989747. The next prime is 2564989783. The reversal of 2564989776 is 6779894652.

2564989776 is a `hidden beast` number, since 2 + 56 + 498 + 97 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2112321600 + 452668176 = 45960^2 + 21276^2 .

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, 235381 + ... + 246036.

Almost surely, 2^2564989776 is an apocalyptic number.

It is an amenable number.

2564989776 is an abundant number, since it is smaller than the sum of its proper divisors (4807445476).

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

2564989776 is a wasteful number, since it uses less digits than its factorization.

2564989776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481468 (or 481459 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 2564989776 is about 50645.7281120530. The cubic root of 2564989776 is about 1368.8689718567.

The spelling of 2564989776 in words is "two billion, five hundred sixty-four million, nine hundred eighty-nine thousand, seven hundred seventy-six".