2593713989120 has 80 divisors (see below), whose sum is σ = 6489218815200. Its totient is φ = 992377503744.

The previous prime is 2593713989101. The next prime is 2593713989123. The reversal of 2593713989120 is 219893173952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2593713989120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2593713989123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21966545 + ... + 22084304.

It is an arithmetic number, because the mean of its divisors is an integer number (81115235190).

Almost surely, 2^{2593713989120} is an apocalyptic number.

2593713989120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2593713989120 is an abundant number, since it is smaller than the sum of its proper divisors (3895504826080).

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

2593713989120 is an equidigital number, since it uses as much as digits as its factorization.

2593713989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44050895 (or 44050879 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 59.

The spelling of 2593713989120 in words is "two trillion, five hundred ninety-three billion, seven hundred thirteen million, nine hundred eighty-nine thousand, one hundred twenty".