2516735104 has 64 divisors (see below), whose sum is σ = 5501555640. Its totient is φ = 1139613696.

The previous prime is 2516735059. The next prime is 2516735149. The reversal of 2516735104 is 4015376152.

It is an interprime number because it is at equal distance from previous prime (2516735059) and next prime (2516735149).

It can be written as a sum of positive squares in 4 ways, for example, as 1508545600 + 1008189504 = 38840^2 + 31752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2516735104.

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, 73924 + ... + 102460.

Almost surely, 2^2516735104 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 2516735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750777820).

2516735104 is an abundant number, since it is smaller than the sum of its proper divisors (2984820536).

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

2516735104 is a wasteful number, since it uses less digits than its factorization.

2516735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28617 (or 28605 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 2516735104 is about 50167.0719097697. The cubic root of 2516735104 is about 1360.2304799694.

The spelling of 2516735104 in words is "two billion, five hundred sixteen million, seven hundred thirty-five thousand, one hundred four".