2568794560 has 112 divisors (see below), whose sum is σ = 6556101696. Its totient is φ = 956178432.

The previous prime is 2568794551. The next prime is 2568794561. The reversal of 2568794560 is 654978652.

It is a junction number, because it is equal to n+sod(n) for n = 2568794498 and 2568794507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568794561) 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 15 ways as a sum of consecutive naturals, for example, 267604 + ... + 277036.

Almost surely, 2^2568794560 is an apocalyptic number.

2568794560 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 2568794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278050848).

2568794560 is an abundant number, since it is smaller than the sum of its proper divisors (3987307136).

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

2568794560 is a wasteful number, since it uses less digits than its factorization.

2568794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The square root of 2568794560 is about 50683.2769264182. The cubic root of 2568794560 is about 1369.5454758733.

The spelling of 2568794560 in words is "two billion, five hundred sixty-eight million, seven hundred ninety-four thousand, five hundred sixty".