2109087319680 has 384 divisors, whose sum is σ = 7968007195200. Its totient is φ = 509815111680.

The previous prime is 2109087319679. The next prime is 2109087319693. The reversal of 2109087319680 is 869137809012.

2109087319680 is a `hidden beast` number, since 210 + 90 + 87 + 3 + 196 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 21937956 + ... + 22033884.

Almost surely, 2^{2109087319680} is an apocalyptic number.

2109087319680 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 2109087319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984003597600).

2109087319680 is an abundant number, since it is smaller than the sum of its proper divisors (5858919875520).

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

2109087319680 is a wasteful number, since it uses less digits than its factorization.

2109087319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96312 (or 96297 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 2109087319680 in words is "two trillion, one hundred nine billion, eighty-seven million, three hundred nineteen thousand, six hundred eighty".