2590661596000 has 96 divisors (see below), whose sum is σ = 6365756386080. Its totient is φ = 1036183104000.

The previous prime is 2590661595971. The next prime is 2590661596097. The reversal of 2590661596000 is 6951660952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96902635 + ... + 96929365.

It is an arithmetic number, because the mean of its divisors is an integer number (66309962355).

Almost surely, 2^{2590661596000} is an apocalyptic number.

2590661596000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590661596000 is an abundant number, since it is smaller than the sum of its proper divisors (3775094790080).

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

2590661596000 is a wasteful number, since it uses less digits than its factorization.

2590661596000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50985 (or 50967 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

The spelling of 2590661596000 in words is "two trillion, five hundred ninety billion, six hundred sixty-one million, five hundred ninety-six thousand".