2255608960 has 256 divisors, whose sum is σ = 6376942080. Its totient is φ = 753664000.

The previous prime is 2255608939. The next prime is 2255608981. The reversal of 2255608960 is 698065522.

It is an interprime number because it is at equal distance from previous prime (2255608939) and next prime (2255608981).

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, 5624760 + ... + 5625160.

It is an arithmetic number, because the mean of its divisors is an integer number (24909930).

Almost surely, 2^2255608960 is an apocalyptic number.

2255608960 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 2255608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188471040).

2255608960 is an abundant number, since it is smaller than the sum of its proper divisors (4121333120).

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

2255608960 is a wasteful number, since it uses less digits than its factorization.

2255608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 2255608960 is about 47493.2517311670. The cubic root of 2255608960 is about 1311.4586553100.

The spelling of 2255608960 in words is "two billion, two hundred fifty-five million, six hundred eight thousand, nine hundred sixty".