2256684192 has 192 divisors, whose sum is σ = 7849820160. Its totient is φ = 616695552.

The previous prime is 2256684181. The next prime is 2256684211. The reversal of 2256684192 is 2914866522.

2256684192 is a `hidden beast` number, since 2 + 2 + 566 + 84 + 1 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 130993 + ... + 147215.

It is an arithmetic number, because the mean of its divisors is an integer number (40884480).

Almost surely, 2^2256684192 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 2256684192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924910080).

2256684192 is an abundant number, since it is smaller than the sum of its proper divisors (5593135968).

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

2256684192 is a wasteful number, since it uses less digits than its factorization.

2256684192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272 (or 16258 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2256684192 is about 47504.5702222428. The cubic root of 2256684192 is about 1311.6670097326.

The spelling of 2256684192 in words is "two billion, two hundred fifty-six million, six hundred eighty-four thousand, one hundred ninety-two".