2401675470756 has 81 divisors (see below), whose sum is σ = 6110289269539. Its totient is φ = 795397876032.

The previous prime is 2401675470703. The next prime is 2401675470797. The reversal of 2401675470756 is 6570745761042.

The square root of 2401675470756 is 1549734.

It is a perfect power (a square), and thus also a powerful number.

2401675470756 is a `hidden beast` number, since 2 + 4 + 0 + 167 + 5 + 470 + 7 + 5 + 6 = 666.

2401675470756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1476385384356 + 925290086400 = 1215066^2 + 961920^2 .

It is a super-2 number, since 2×2401675470756² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1608623146 + ... + 1608624638.

Almost surely, 2^{2401675470756} is an apocalyptic number.

2401675470756 is the 1549734-th square number.

It is an amenable number.

2401675470756 is an abundant number, since it is smaller than the sum of its proper divisors (3708613798783).

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

2401675470756 is an equidigital number, since it uses as much as digits as its factorization.

2401675470756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 2401675470756 in words is "two trillion, four hundred one billion, six hundred seventy-five million, four hundred seventy thousand, seven hundred fifty-six".