2580268380816 has 240 divisors, whose sum is σ = 7905877473600. Its totient is φ = 722796512256.

The previous prime is 2580268380803. The next prime is 2580268380961. The reversal of 2580268380816 is 6180838620852.

2580268380816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196825270 + ... + 196838378.

It is an arithmetic number, because the mean of its divisors is an integer number (32941156140).

Almost surely, 2^{2580268380816} 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 2580268380816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952938736800).

2580268380816 is an abundant number, since it is smaller than the sum of its proper divisors (5325609092784).

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

2580268380816 is a wasteful number, since it uses less digits than its factorization.

2580268380816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14766 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 2580268380816 in words is "two trillion, five hundred eighty billion, two hundred sixty-eight million, three hundred eighty thousand, eight hundred sixteen".