2456116401 has 16 divisors (see below), whose sum is σ = 3390399360. Its totient is φ = 1579710720.

The previous prime is 2456116393. The next prime is 2456116417. The reversal of 2456116401 is 1046116542.

It is not a de Polignac number, because 2456116401 - 2³ = 2456116393 is a prime.

It is a super-2 number, since 2×2456116401² = 12065015550522385602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2456116451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108036 + ... + 128778.

It is an arithmetic number, because the mean of its divisors is an integer number (211899960).

Almost surely, 2^2456116401 is an apocalyptic number.

It is an amenable number.

2456116401 is a deficient number, since it is larger than the sum of its proper divisors (934282959).

2456116401 is a wasteful number, since it uses less digits than its factorization.

2456116401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22136.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2456116401 is about 49559.2211500544. The cubic root of 2456116401 is about 1349.2206569002.

The spelling of 2456116401 in words is "two billion, four hundred fifty-six million, one hundred sixteen thousand, four hundred one".