2139882689100 has 288 divisors, whose sum is σ = 7224062630400. Its totient is φ = 484225781760.

The previous prime is 2139882689093. The next prime is 2139882689141. The reversal of 2139882689100 is 19862889312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2475601 + ... + 3226199.

It is an arithmetic number, because the mean of its divisors is an integer number (25083550800).

Almost surely, 2^{2139882689100} is an apocalyptic number.

2139882689100 is a gapful number since it is divisible by the number (20) 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 2139882689100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612031315200).

2139882689100 is an abundant number, since it is smaller than the sum of its proper divisors (5084179941300).

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

2139882689100 is a wasteful number, since it uses less digits than its factorization.

2139882689100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750689 (or 750682 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 2139882689100 in words is "two trillion, one hundred thirty-nine billion, eight hundred eighty-two million, six hundred eighty-nine thousand, one hundred".