2256085972 has 48 divisors (see below), whose sum is σ = 4679136000. Its totient is φ = 931279104.

The previous prime is 2256085933. The next prime is 2256085981. The reversal of 2256085972 is 2795806522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353304 + ... + 359632.

It is an arithmetic number, because the mean of its divisors is an integer number (97482000).

Almost surely, 2^2256085972 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 2256085972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339568000).

2256085972 is an abundant number, since it is smaller than the sum of its proper divisors (2423050028).

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

2256085972 is a wasteful number, since it uses less digits than its factorization.

2256085972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 2256085972 is about 47498.2733580917. The cubic root of 2256085972 is about 1311.5510970753.

The spelling of 2256085972 in words is "two billion, two hundred fifty-six million, eighty-five thousand, nine hundred seventy-two".