2558384972760 has 32 divisors (see below), whose sum is σ = 7675154918640. Its totient is φ = 682235992704.

The previous prime is 2558384972753. The next prime is 2558384972761. The reversal of 2558384972760 is 672794838552.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2558384972691 and 2558384972700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558384972761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10659937267 + ... + 10659937506.

Almost surely, 2^{2558384972760} is an apocalyptic number.

2558384972760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2558384972760 is an abundant number, since it is smaller than the sum of its proper divisors (5116769945880).

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

2558384972760 is a wasteful number, since it uses less digits than its factorization.

2558384972760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21319874787 (or 21319874783 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 2558384972760 in words is "two trillion, five hundred fifty-eight billion, three hundred eighty-four million, nine hundred seventy-two thousand, seven hundred sixty".