2255643936 has 480 divisors, whose sum is σ = 8339683968. Its totient is φ = 582266880.

The previous prime is 2255643883. The next prime is 2255643941. The reversal of 2255643936 is 6393465522.

2255643936 is a `hidden beast` number, since 2 + 2 + 556 + 4 + 3 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2255643891 and 2255643900.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17218591 + ... + 17218721.

Almost surely, 2^2255643936 is an apocalyptic number.

2255643936 is a gapful number since it is divisible by the number (26) 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 2255643936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169841984).

2255643936 is an abundant number, since it is smaller than the sum of its proper divisors (6084040032).

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

2255643936 is a wasteful number, since it uses less digits than its factorization.

2255643936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 2255643936 is about 47493.6199504733. The cubic root of 2255643936 is about 1311.4654338698.

The spelling of 2255643936 in words is "two billion, two hundred fifty-five million, six hundred forty-three thousand, nine hundred thirty-six".