2568605760 has 336 divisors, whose sum is σ = 10203338496. Its totient is φ = 580939776.

The previous prime is 2568605737. The next prime is 2568605779. The reversal of 2568605760 is 675068652.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 2075862 + ... + 2077098.

Almost surely, 2^2568605760 is an apocalyptic number.

2568605760 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 2568605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101669248).

2568605760 is an abundant number, since it is smaller than the sum of its proper divisors (7634732736).

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

2568605760 is a wasteful number, since it uses less digits than its factorization.

2568605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2568605760 is about 50681.4143449056. The cubic root of 2568605760 is about 1369.5119223245.

The spelling of 2568605760 in words is "two billion, five hundred sixty-eight million, six hundred five thousand, seven hundred sixty".