2265406056 has 80 divisors (see below), whose sum is σ = 6393911040. Its totient is φ = 749342880.

The previous prime is 2265406051. The next prime is 2265406057. The reversal of 2265406056 is 6506045622.

2265406056 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 40 + 605 + 6 = 666.

It is a super-2 number, since 2×2265406056² = 10264129197122950272, 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 2265406056.

It is not an unprimeable number, because it can be changed into a prime (2265406051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71545 + ... + 98231.

It is an arithmetic number, because the mean of its divisors is an integer number (79923888).

Almost surely, 2^2265406056 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 2265406056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196955520).

2265406056 is an abundant number, since it is smaller than the sum of its proper divisors (4128504984).

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

2265406056 is a wasteful number, since it uses less digits than its factorization.

2265406056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26836 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2265406056 is about 47596.2819556318. The cubic root of 2265406056 is about 1313.3546590254.

It can be divided in two parts, 2265 and 406056, that added together give a square (408321 = 639²).

The spelling of 2265406056 in words is "two billion, two hundred sixty-five million, four hundred six thousand, fifty-six".