2255735160 has 96 divisors (see below), whose sum is σ = 8378454240. Its totient is φ = 515596032.

The previous prime is 2255735149. The next prime is 2255735191. The reversal of 2255735160 is 615375522.

2255735160 is a `hidden beast` number, since 2 + 25 + 573 + 5 + 1 + 60 = 666.

2255735160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2255735160² = 10176682224120451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445047 + ... + 450086.

It is an arithmetic number, because the mean of its divisors is an integer number (87275565).

Almost surely, 2^2255735160 is an apocalyptic number.

2255735160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255735160 is an abundant number, since it is smaller than the sum of its proper divisors (6122719080).

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

2255735160 is a wasteful number, since it uses less digits than its factorization.

2255735160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895157 (or 895150 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 2255735160 is about 47494.5803223905. The cubic root of 2255735160 is about 1311.4831133017.

The spelling of 2255735160 in words is "two billion, two hundred fifty-five million, seven hundred thirty-five thousand, one hundred sixty".