2558082500 has 60 divisors (see below), whose sum is σ = 5657360940. Its totient is φ = 1011648000.

The previous prime is 2558082481. The next prime is 2558082509. The reversal of 2558082500 is 52808552.

2558082500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 2195484736 + 362597764 = 46856^2 + 19042^2 .

It is not an unprimeable number, because it can be changed into a prime (2558082509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 216752 + ... + 228248.

It is an arithmetic number, because the mean of its divisors is an integer number (94289349).

Almost surely, 2^2558082500 is an apocalyptic number.

2558082500 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 2558082500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828680470).

2558082500 is an abundant number, since it is smaller than the sum of its proper divisors (3099278440).

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

2558082500 is a wasteful number, since it uses less digits than its factorization.

2558082500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 2558082500 is about 50577.4900523939. The cubic root of 2558082500 is about 1367.6391221465.

The spelling of 2558082500 in words is "two billion, five hundred fifty-eight million, eighty-two thousand, five hundred".