2255756568 has 128 divisors (see below), whose sum is σ = 6168960000. Its totient is φ = 687313536.

The previous prime is 2255756557. The next prime is 2255756593. The reversal of 2255756568 is 8656575522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2255756568.

It is a congruent number.

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, 9438193 + ... + 9438431.

It is an arithmetic number, because the mean of its divisors is an integer number (48195000).

Almost surely, 2^2255756568 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 2255756568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480000).

2255756568 is an abundant number, since it is smaller than the sum of its proper divisors (3913203432).

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

2255756568 is a wasteful number, since it uses less digits than its factorization.

2255756568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its digits is 5040000, while the sum is 51.

The square root of 2255756568 is about 47494.8056949389. The cubic root of 2255756568 is about 1311.4872621548.

The spelling of 2255756568 in words is "two billion, two hundred fifty-five million, seven hundred fifty-six thousand, five hundred sixty-eight".