2589672933680 has 80 divisors (see below), whose sum is σ = 7048963462464. Its totient is φ = 866232053760.

The previous prime is 2589672933637. The next prime is 2589672933697. The reversal of 2589672933680 is 863392769852.

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 2589672933680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56372357 + ... + 56418276.

Almost surely, 2^{2589672933680} is an apocalyptic number.

2589672933680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2589672933680 is an abundant number, since it is smaller than the sum of its proper divisors (4459290528784).

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

2589672933680 is a wasteful number, since it uses less digits than its factorization.

2589672933680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112790694 (or 112790688 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 68.

The spelling of 2589672933680 in words is "two trillion, five hundred eighty-nine billion, six hundred seventy-two million, nine hundred thirty-three thousand, six hundred eighty".