2516115424896 has 192 divisors, whose sum is σ = 7293314925000. Its totient is φ = 832580616192.

The previous prime is 2516115424871. The next prime is 2516115424919. The reversal of 2516115424896 is 6984245116152.

It is a happy number.

2516115424896 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 1 + 1 + 542 + 4 + 8 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2499561000000 + 16554424896 = 1581000^2 + 128664^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2516115424896² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390152680 + ... + 390159128.

Almost surely, 2^{2516115424896} 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 2516115424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646657462500).

2516115424896 is an abundant number, since it is smaller than the sum of its proper divisors (4777199500104).

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

2516115424896 is a wasteful number, since it uses less digits than its factorization.

2516115424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8891 (or 8876 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 2516115424896 in words is "two trillion, five hundred sixteen billion, one hundred fifteen million, four hundred twenty-four thousand, eight hundred ninety-six".