2558417984363 has 16 divisors (see below), whose sum is σ = 2623556204640. Its totient is φ = 2493411379200.

The previous prime is 2558417984359. The next prime is 2558417984429. The reversal of 2558417984363 is 3634897148552.

It is a cyclic number.

It is not a de Polignac number, because 2558417984363 - 2² = 2558417984359 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2558417984363.

It is not an unprimeable number, because it can be changed into a prime (2558417984323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277270556 + ... + 277279782.

It is an arithmetic number, because the mean of its divisors is an integer number (163972262790).

Almost surely, 2^{2558417984363} is an apocalyptic number.

2558417984363 is a deficient number, since it is larger than the sum of its proper divisors (65138220277).

2558417984363 is a wasteful number, since it uses less digits than its factorization.

2558417984363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15598.

The product of its digits is 174182400, while the sum is 65.

The spelling of 2558417984363 in words is "two trillion, five hundred fifty-eight billion, four hundred seventeen million, nine hundred eighty-four thousand, three hundred sixty-three".