2255633856 has 252 divisors, whose sum is σ = 7575237072. Its totient is φ = 641700864.

The previous prime is 2255633803. The next prime is 2255633857. The reversal of 2255633856 is 6583365522.

2255633856 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 633 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×2255633856³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255633857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9680716 + ... + 9680948.

Almost surely, 2^2255633856 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 2255633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787618536).

2255633856 is an abundant number, since it is smaller than the sum of its proper divisors (5319603216).

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

2255633856 is an frugal number, since it uses more digits than its factorization.

2255633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 245 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 2255633856 is about 47493.5138308380. The cubic root of 2255633856 is about 1311.4634803122.

The spelling of 2255633856 in words is "two billion, two hundred fifty-five million, six hundred thirty-three thousand, eight hundred fifty-six".