2556668576 has 192 divisors, whose sum is σ = 6685701120. Its totient is φ = 932290560.

The previous prime is 2556668551. The next prime is 2556668581. The reversal of 2556668576 is 6758666552.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4540871 + ... + 4541433.

It is an arithmetic number, because the mean of its divisors is an integer number (34821360).

Almost surely, 2^2556668576 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 2556668576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342850560).

2556668576 is an abundant number, since it is smaller than the sum of its proper divisors (4129032544).

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

2556668576 is a wasteful number, since it uses less digits than its factorization.

2556668576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 699 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 56.

The square root of 2556668576 is about 50563.5103211792. The cubic root of 2556668576 is about 1367.3870981969.

The spelling of 2556668576 in words is "two billion, five hundred fifty-six million, six hundred sixty-eight thousand, five hundred seventy-six".