2256154056 has 144 divisors (see below), whose sum is σ = 6664387860. Its totient is φ = 689195520.

The previous prime is 2256154009. The next prime is 2256154063. The reversal of 2256154056 is 6504516522.

2256154056 is a `hidden beast` number, since 2 + 2 + 5 + 61 + 540 + 56 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 586124100 + 1670029956 = 24210^2 + 40866^2 .

It is a super-2 number, since 2×2256154056² = 10180462248810502272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2256154056.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1909786 + ... + 1910966.

Almost surely, 2^2256154056 is an apocalyptic number.

2256154056 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 2256154056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332193930).

2256154056 is an abundant number, since it is smaller than the sum of its proper divisors (4408233804).

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

2256154056 is a wasteful number, since it uses less digits than its factorization.

2256154056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2256154056 is about 47498.9900524211. The cubic root of 2256154056 is about 1311.5642902408.

The spelling of 2256154056 in words is "two billion, two hundred fifty-six million, one hundred fifty-four thousand, fifty-six".