2590980070680 has 160 divisors (see below), whose sum is σ = 8989493927040. Its totient is φ = 668639992320.

The previous prime is 2590980070573. The next prime is 2590980070697. The reversal of 2590980070680 is 860700890952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 12797709 + ... + 12998588.

It is an arithmetic number, because the mean of its divisors is an integer number (56184337044).

Almost surely, 2^{2590980070680} is an apocalyptic number.

2590980070680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590980070680 is an abundant number, since it is smaller than the sum of its proper divisors (6398513856360).

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

2590980070680 is a wasteful number, since it uses less digits than its factorization.

2590980070680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25796351 (or 25796338 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2590980070680 in words is "two trillion, five hundred ninety billion, nine hundred eighty million, seventy thousand, six hundred eighty".