2558506448200 has 48 divisors (see below), whose sum is σ = 5971145590080. Its totient is φ = 1019511293760.

The previous prime is 2558506448167. The next prime is 2558506448233. The reversal of 2558506448200 is 28446058552.

2558506448200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2558506448167) and next prime (2558506448233).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24267804 + ... + 24373003.

It is an arithmetic number, because the mean of its divisors is an integer number (124398866460).

Almost surely, 2^{2558506448200} is an apocalyptic number.

2558506448200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2558506448200 is an abundant number, since it is smaller than the sum of its proper divisors (3412639141880).

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

2558506448200 is a wasteful number, since it uses less digits than its factorization.

2558506448200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48641086 (or 48641077 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 49.

The spelling of 2558506448200 in words is "two trillion, five hundred fifty-eight billion, five hundred six million, four hundred forty-eight thousand, two hundred".