2516709120 has 144 divisors (see below), whose sum is σ = 8100715392. Its totient is φ = 665866240.

The previous prime is 2516709071. The next prime is 2516709131. The reversal of 2516709120 is 219076152.

It is a congruent number.

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, 500539 + ... + 505541.

It is an arithmetic number, because the mean of its divisors is an integer number (56254968).

Almost surely, 2^2516709120 is an apocalyptic number.

2516709120 is a gapful number since it is divisible by the number (20) 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 2516709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050357696).

2516709120 is an abundant number, since it is smaller than the sum of its proper divisors (5584006272).

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

2516709120 is a wasteful number, since it uses less digits than its factorization.

2516709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 2516709120 is about 50166.8129344490. The cubic root of 2516709120 is about 1360.2257987257.

The spelling of 2516709120 in words is "two billion, five hundred sixteen million, seven hundred nine thousand, one hundred twenty".