2581964568 has 96 divisors (see below), whose sum is σ = 7481775600. Its totient is φ = 801964800.

The previous prime is 2581964563. The next prime is 2581964597. The reversal of 2581964568 is 8654691852.

2581964568 is a `hidden beast` number, since 2 + 5 + 8 + 19 + 64 + 568 = 666.

2581964568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581964563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67978 + ... + 98918.

Almost surely, 2^2581964568 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 2581964568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740887800).

2581964568 is an abundant number, since it is smaller than the sum of its proper divisors (4899811032).

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

2581964568 is a wasteful number, since it uses less digits than its factorization.

2581964568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31033 (or 31026 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 2581964568 is about 50813.0354141533. The cubic root of 2581964568 is about 1371.8820047158.

The spelling of 2581964568 in words is "two billion, five hundred eighty-one million, nine hundred sixty-four thousand, five hundred sixty-eight".