2518193512768 has 112 divisors (see below), whose sum is σ = 5273241615040. Its totient is φ = 1189839974400.

The previous prime is 2518193512753. The next prime is 2518193512789. The reversal of 2518193512768 is 8672153918152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302737530 + ... + 1302739462.

It is an arithmetic number, because the mean of its divisors is an integer number (47082514420).

Almost surely, 2^{2518193512768} 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 2518193512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636620807520).

2518193512768 is an abundant number, since it is smaller than the sum of its proper divisors (2755048102272).

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

2518193512768 is a wasteful number, since it uses less digits than its factorization.

2518193512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4086 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 58.

The spelling of 2518193512768 in words is "two trillion, five hundred eighteen billion, one hundred ninety-three million, five hundred twelve thousand, seven hundred sixty-eight".