2582976871360 has 112 divisors (see below), whose sum is σ = 6350361403392. Its totient is φ = 999667123200.

The previous prime is 2582976871301. The next prime is 2582976871373. The reversal of 2582976871360 is 631786792852.

2582976871360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 2582976871292 and 2582976871301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57424239 + ... + 57469201.

Almost surely, 2^{2582976871360} is an apocalyptic number.

2582976871360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582976871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175180701696).

2582976871360 is an abundant number, since it is smaller than the sum of its proper divisors (3767384532032).

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

2582976871360 is a wasteful number, since it uses less digits than its factorization.

2582976871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50802 (or 50792 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 2582976871360 in words is "two trillion, five hundred eighty-two billion, nine hundred seventy-six million, eight hundred seventy-one thousand, three hundred sixty".