2568106656 has 144 divisors (see below), whose sum is σ = 7531648488. Its totient is φ = 829440000.

The previous prime is 2568106609. The next prime is 2568106663. The reversal of 2568106656 is 6566018652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2241075600 + 327031056 = 47340^2 + 18084^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 4272756 + ... + 4273356.

Almost surely, 2^2568106656 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 2568106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765824244).

2568106656 is an abundant number, since it is smaller than the sum of its proper divisors (4963541832).

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

2568106656 is a wasteful number, since it uses less digits than its factorization.

2568106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2568106656 is about 50676.4901704923. The cubic root of 2568106656 is about 1369.4232136087.

The spelling of 2568106656 in words is "two billion, five hundred sixty-eight million, one hundred six thousand, six hundred fifty-six".