2558013504 has 56 divisors (see below), whose sum is σ = 6786128160. Its totient is φ = 850397184.

The previous prime is 2558013487. The next prime is 2558013533. The reversal of 2558013504 is 4053108552.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55192 + ... + 90344.

It is an arithmetic number, because the mean of its divisors is an integer number (121180860).

Almost surely, 2^2558013504 is an apocalyptic number.

2558013504 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 2558013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393064080).

2558013504 is an abundant number, since it is smaller than the sum of its proper divisors (4228114656).

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

2558013504 is a wasteful number, since it uses less digits than its factorization.

2558013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35547 (or 35537 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 2558013504 is about 50576.8079657070. The cubic root of 2558013504 is about 1367.6268261556.

The spelling of 2558013504 in words is "two billion, five hundred fifty-eight million, thirteen thousand, five hundred four".