2516193300096 has 320 divisors, whose sum is σ = 8578317960960. Its totient is φ = 717196032000.

The previous prime is 2516193300059. The next prime is 2516193300097. The reversal of 2516193300096 is 6900033916152.

2516193300096 is a `hidden beast` number, since 2 + 516 + 19 + 3 + 30 + 0 + 0 + 96 = 666.

It is a super-2 number, since 2×2516193300096² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2516193300097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30513321 + ... + 30595671.

It is an arithmetic number, because the mean of its divisors is an integer number (26807243628).

Almost surely, 2^{2516193300096} 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 2516193300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289158980480).

2516193300096 is an abundant number, since it is smaller than the sum of its proper divisors (6062124660864).

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

2516193300096 is an equidigital number, since it uses as much as digits as its factorization.

2516193300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82805 (or 82784 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 2516193300096 in words is "two trillion, five hundred sixteen billion, one hundred ninety-three million, three hundred thousand, ninety-six".