2580816900 has 72 divisors (see below), whose sum is σ = 7474459104. Its totient is φ = 687545600.

The previous prime is 2580816899. The next prime is 2580816977. The reversal of 2580816900 is 96180852.

It is a super-2 number, since 2×2580816900² = 13321231742651220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354295 + ... + 361505.

It is an arithmetic number, because the mean of its divisors is an integer number (103811932).

Almost surely, 2^2580816900 is an apocalyptic number.

2580816900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2580816900 is an abundant number, since it is smaller than the sum of its proper divisors (4893642204).

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

2580816900 is a wasteful number, since it uses less digits than its factorization.

2580816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 2580816900 is about 50801.7411118950. The cubic root of 2580816900 is about 1371.6787101091.

The spelling of 2580816900 in words is "two billion, five hundred eighty million, eight hundred sixteen thousand, nine hundred".