2516584128 has 112 divisors (see below), whose sum is σ = 6763426656. Its totient is φ = 825753600.

The previous prime is 2516584111. The next prime is 2516584157. The reversal of 2516584128 is 8214856152.

It is a self number, because there is not a number n which added to its sum of digits gives 2516584128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4187028 + ... + 4187628.

It is an arithmetic number, because the mean of its divisors is an integer number (60387738).

Almost surely, 2^2516584128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381713328).

2516584128 is an abundant number, since it is smaller than the sum of its proper divisors (4246842528).

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

2516584128 is a wasteful number, since it uses less digits than its factorization.

2516584128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 2516584128 is about 50165.5671551713. The cubic root of 2516584128 is about 1360.2032798794.

The spelling of 2516584128 in words is "two billion, five hundred sixteen million, five hundred eighty-four thousand, one hundred twenty-eight".