2580164900 has 36 divisors (see below), whose sum is σ = 5611692912. Its totient is φ = 1029718560.

The previous prime is 2580164857. The next prime is 2580164903. The reversal of 2580164900 is 94610852.

It is a super-2 number, since 2×2580164900² = 13314501822384020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2580164903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15179 + ... + 73421.

Almost surely, 2^2580164900 is an apocalyptic number.

2580164900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2580164900 is an abundant number, since it is smaller than the sum of its proper divisors (3031528012).

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

2580164900 is a wasteful number, since it uses less digits than its factorization.

2580164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58700 (or 58693 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 2580164900 is about 50795.3236036547. The cubic root of 2580164900 is about 1371.5631898589.

The spelling of 2580164900 in words is "two billion, five hundred eighty million, one hundred sixty-four thousand, nine hundred".