2504200164 has 96 divisors (see below), whose sum is σ = 6474940416. Its totient is φ = 749253120.

The previous prime is 2504200163. The next prime is 2504200183. The reversal of 2504200164 is 4610024052.

It is a super-2 number, since 2×2504200164² = 12542036922755253792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2504200163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2303229 + ... + 2304315.

It is an arithmetic number, because the mean of its divisors is an integer number (67447296).

Almost surely, 2^2504200164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504200164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237470208).

2504200164 is an abundant number, since it is smaller than the sum of its proper divisors (3970740252).

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

2504200164 is a wasteful number, since it uses less digits than its factorization.

2504200164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2504200164 is about 50041.9840134262. The cubic root of 2504200164 is about 1357.9684496507.

The spelling of 2504200164 in words is "two billion, five hundred four million, two hundred thousand, one hundred sixty-four".