2580135900 has 144 divisors (see below), whose sum is σ = 7984176480. Its totient is φ = 641024000.

The previous prime is 2580135869. The next prime is 2580135941. The reversal of 2580135900 is 95310852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512596 + ... + 517604.

It is an arithmetic number, because the mean of its divisors is an integer number (55445670).

Almost surely, 2^2580135900 is an apocalyptic number.

2580135900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992088240).

2580135900 is an abundant number, since it is smaller than the sum of its proper divisors (5404040580).

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

2580135900 is a wasteful number, since it uses less digits than its factorization.

2580135900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 2580135900 is about 50795.0381435037. The cubic root of 2580135900 is about 1371.5580512362.

The spelling of 2580135900 in words is "two billion, five hundred eighty million, one hundred thirty-five thousand, nine hundred".