2558686104 has 128 divisors (see below), whose sum is σ = 7832563200. Its totient is φ = 768942720.

The previous prime is 2558686087. The next prime is 2558686111. The reversal of 2558686104 is 4016868552.

2558686104 is a `hidden beast` number, since 2 + 5 + 586 + 8 + 61 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2558686104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110149 + ... + 131339.

It is an arithmetic number, because the mean of its divisors is an integer number (61191900).

Almost surely, 2^2558686104 is an apocalyptic number.

2558686104 is a gapful number since it is divisible by the number (24) 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 2558686104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916281600).

2558686104 is an abundant number, since it is smaller than the sum of its proper divisors (5273877096).

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

2558686104 is a wasteful number, since it uses less digits than its factorization.

2558686104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21262 (or 21252 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2558686104 is about 50583.4568213759. The cubic root of 2558686104 is about 1367.7466828583.

The spelling of 2558686104 in words is "two billion, five hundred fifty-eight million, six hundred eighty-six thousand, one hundred four".