2564933760 has 192 divisors, whose sum is σ = 9073897560. Its totient is φ = 667238400.

The previous prime is 2564933741. The next prime is 2564933821. The reversal of 2564933760 is 673394652.

2564933760 is a `hidden beast` number, since 256 + 4 + 9 + 337 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1246372416 + 1318561344 = 35304^2 + 36312^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230730 + ... + 241590.

Almost surely, 2^2564933760 is an apocalyptic number.

2564933760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536948780).

2564933760 is an abundant number, since it is smaller than the sum of its proper divisors (6508963800).

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

2564933760 is a wasteful number, since it uses less digits than its factorization.

2564933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 2564933760 is about 50645.1750910193. The cubic root of 2564933760 is about 1368.8590070187.

The spelling of 2564933760 in words is "two billion, five hundred sixty-four million, nine hundred thirty-three thousand, seven hundred sixty".