2256135660 has 96 divisors (see below), whose sum is σ = 7084869120. Its totient is φ = 595998144.

The previous prime is 2256135617. The next prime is 2256135667. The reversal of 2256135660 is 665316522.

It is a happy number.

2256135660 is a `hidden beast` number, since 2 + 2 + 561 + 35 + 6 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2256135667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38257 + ... + 77303.

It is an arithmetic number, because the mean of its divisors is an integer number (73800720).

Almost surely, 2^2256135660 is an apocalyptic number.

2256135660 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 2256135660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542434560).

2256135660 is an abundant number, since it is smaller than the sum of its proper divisors (4828733460).

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

2256135660 is a wasteful number, since it uses less digits than its factorization.

2256135660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39172 (or 39164 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2256135660 is about 47498.7964058038. The cubic root of 2256135660 is about 1311.5607255312.

The spelling of 2256135660 in words is "two billion, two hundred fifty-six million, one hundred thirty-five thousand, six hundred sixty".