2039080249584 has 720 divisors, whose sum is σ = 7128768104640. Its totient is φ = 532540293120.

The previous prime is 2039080249523. The next prime is 2039080249597. The reversal of 2039080249584 is 4859420809302.

2039080249584 is a `hidden beast` number, since 2 + 0 + 39 + 0 + 8 + 0 + 24 + 9 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2039080249584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1447181872 + ... + 1447183280.

It is an arithmetic number, because the mean of its divisors is an integer number (9901066812).

Almost surely, 2^{2039080249584} is an apocalyptic number.

2039080249584 is a gapful number since it is divisible by the number (24) 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 2039080249584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564384052320).

2039080249584 is an abundant number, since it is smaller than the sum of its proper divisors (5089687855056).

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

2039080249584 is a wasteful number, since it uses less digits than its factorization.

2039080249584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2039080249584 in words is "two trillion, thirty-nine billion, eighty million, two hundred forty-nine thousand, five hundred eighty-four".