2601164475 has 384 divisors, whose sum is σ = 6479585280. Its totient is φ = 992010240.

The previous prime is 2601164459. The next prime is 2601164477. The reversal of 2601164475 is 5744611062.

2601164475 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 1 + 644 + 7 + 5 = 666.

It is not a de Polignac number, because 2601164475 - 2⁴ = 2601164459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2601164477) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49078549 + ... + 49078601.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 2^2601164475 is an apocalyptic number.

2601164475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2601164475 is an abundant number, since it is smaller than the sum of its proper divisors (3878420805).

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

2601164475 is a wasteful number, since it uses less digits than its factorization.

2601164475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

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

The square root of 2601164475 is about 51001.6124745091. The cubic root of 2601164475 is about 1375.2741227572.

The spelling of 2601164475 in words is "two billion, six hundred one million, one hundred sixty-four thousand, four hundred seventy-five".