2564896576 has 56 divisors (see below), whose sum is σ = 5559698304. Its totient is φ = 1164334080.

The previous prime is 2564896567. The next prime is 2564896577. The reversal of 2564896576 is 6756984652.

It is a self number, because there is not a number n which added to its sum of digits gives 2564896576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564896577) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 669001 + ... + 672823.

Almost surely, 2^2564896576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564896576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779849152).

2564896576 is an abundant number, since it is smaller than the sum of its proper divisors (2994801728).

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

2564896576 is a wasteful number, since it uses less digits than its factorization.

2564896576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4789 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 58.

The square root of 2564896576 is about 50644.8079866041. The cubic root of 2564896576 is about 1368.8523921761.

The spelling of 2564896576 in words is "two billion, five hundred sixty-four million, eight hundred ninety-six thousand, five hundred seventy-six".