2456505072 has 60 divisors (see below), whose sum is σ = 7856920240. Its totient is φ = 701858304.

The previous prime is 2456505043. The next prime is 2456505097. The reversal of 2456505072 is 2705056542.

2456505072 is a `hidden beast` number, since 24 + 565 + 0 + 5 + 0 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1217497 + ... + 1219512.

Almost surely, 2^2456505072 is an apocalyptic number.

It is an amenable number.

2456505072 is an abundant number, since it is smaller than the sum of its proper divisors (5400415168).

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

2456505072 is a wasteful number, since it uses less digits than its factorization.

2456505072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437030 (or 2437021 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2456505072 is about 49563.1422732659. The cubic root of 2456505072 is about 1349.2918228111.

It can be divided in two parts, 2456 and 505072, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 2456505072 in words is "two billion, four hundred fifty-six million, five hundred five thousand, seventy-two".