2117889934944 has 96 divisors (see below), whose sum is σ = 6525390686976. Its totient is φ = 588757040640.

The previous prime is 2117889934921. The next prime is 2117889934961. The reversal of 2117889934944 is 4494399887112.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 42564622 + ... + 42614349.

It is an arithmetic number, because the mean of its divisors is an integer number (67972819656).

Almost surely, 2^{2117889934944} is an apocalyptic number.

2117889934944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2117889934944 is an abundant number, since it is smaller than the sum of its proper divisors (4407500752032).

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

2117889934944 is a wasteful number, since it uses less digits than its factorization.

2117889934944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85179028 (or 85179020 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 69.

The spelling of 2117889934944 in words is "two trillion, one hundred seventeen billion, eight hundred eighty-nine million, nine hundred thirty-four thousand, nine hundred forty-four".