2255855616 has 448 divisors, whose sum is σ = 8052572160. Its totient is φ = 610467840.

The previous prime is 2255855587. The next prime is 2255855639. The reversal of 2255855616 is 6165585522.

2255855616 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 85 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (720000) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47996905 + ... + 47996951.

Almost surely, 2^2255855616 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 2255855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026286080).

2255855616 is an abundant number, since it is smaller than the sum of its proper divisors (5796716544).

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

2255855616 is an equidigital number, since it uses as much as digits as its factorization.

2255855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 2255855616 is about 47495.8484080451. The cubic root of 2255855616 is about 1311.5064572357.

The spelling of 2255855616 in words is "two billion, two hundred fifty-five million, eight hundred fifty-five thousand, six hundred sixteen".