2519580679968 has 768 divisors, whose sum is σ = 7989785395200. Its totient is φ = 686776320000.

The previous prime is 2519580679963. The next prime is 2519580680003. The reversal of 2519580679968 is 8699760859152.

It is a self number, because there is not a number n which added to its sum of digits gives 2519580679968.

It is not an unprimeable number, because it can be changed into a prime (2519580679963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13054822080 + ... + 13054822272.

It is an arithmetic number, because the mean of its divisors is an integer number (10403366400).

Almost surely, 2^{2519580679968} 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 2519580679968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994892697600).

2519580679968 is an abundant number, since it is smaller than the sum of its proper divisors (5470204715232).

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

2519580679968 is a wasteful number, since it uses less digits than its factorization.

2519580679968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 75.

The spelling of 2519580679968 in words is "two trillion, five hundred nineteen billion, five hundred eighty million, six hundred seventy-nine thousand, nine hundred sixty-eight".