2401164675 has 288 divisors, whose sum is σ = 5692968960. Its totient is φ = 970444800.

The previous prime is 2401164611. The next prime is 2401164719. The reversal of 2401164675 is 5764611042.

2401164675 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 1 + 646 + 7 + 5 = 666.

It is not a de Polignac number, because 2401164675 - 2⁶ = 2401164611 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24754227 + ... + 24754323.

Almost surely, 2^2401164675 is an apocalyptic number.

2401164675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2401164675 is an abundant number, since it is smaller than the sum of its proper divisors (3291804285).

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

2401164675 is a wasteful number, since it uses less digits than its factorization.

2401164675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2401164675 is about 49001.6803283316. The cubic root of 2401164675 is about 1339.0824406463.

The spelling of 2401164675 in words is "two billion, four hundred one million, one hundred sixty-four thousand, six hundred seventy-five".