2109844039680 has 768 divisors, whose sum is σ = 8177587891200. Its totient is φ = 519274561536.

The previous prime is 2109844039669. The next prime is 2109844039687. The reversal of 2109844039680 is 869304489012.

2109844039680 is a `hidden beast` number, since 2 + 1 + 0 + 98 + 440 + 39 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2109844039687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291129817 + ... + 291137063.

It is an arithmetic number, because the mean of its divisors is an integer number (10647900900).

Almost surely, 2^{2109844039680} is an apocalyptic number.

2109844039680 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 2109844039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088793945600).

2109844039680 is an abundant number, since it is smaller than the sum of its proper divisors (6067743851520).

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

2109844039680 is an frugal number, since it uses more digits than its factorization.

2109844039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2109844039680 in words is "two trillion, one hundred nine billion, eight hundred forty-four million, thirty-nine thousand, six hundred eighty".