2516463136 has 48 divisors (see below), whose sum is σ = 5449435488. Its totient is φ = 1143827520.

The previous prime is 2516463127. The next prime is 2516463149. The reversal of 2516463136 is 6313646152.

2516463136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2516463095 and 2516463104.

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, 13051 + ... + 72133.

It is an arithmetic number, because the mean of its divisors is an integer number (113529906).

Almost surely, 2^2516463136 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 2516463136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724717744).

2516463136 is an abundant number, since it is smaller than the sum of its proper divisors (2932972352).

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

2516463136 is an equidigital number, since it uses as much as digits as its factorization.

2516463136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59126 (or 59096 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 2516463136 is about 50164.3612139136. The cubic root of 2516463136 is about 1360.1814809721.

The spelling of 2516463136 in words is "two billion, five hundred sixteen million, four hundred sixty-three thousand, one hundred thirty-six".