2108817744000 has 512 divisors, whose sum is σ = 7957873797120. Its totient is φ = 488998400000.

The previous prime is 2108817743999. The next prime is 2108817744037. The reversal of 2108817744000 is 4477188012.

It is a super-2 number, since 2×2108817744000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12057175 + ... + 12230825.

It is an arithmetic number, because the mean of its divisors is an integer number (15542722260).

Almost surely, 2^{2108817744000} is an apocalyptic number.

2108817744000 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 2108817744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978936898560).

2108817744000 is an abundant number, since it is smaller than the sum of its proper divisors (5849056053120).

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

2108817744000 is a wasteful number, since it uses less digits than its factorization.

2108817744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173717 (or 173695 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 2108817744000 in words is "two trillion, one hundred eight billion, eight hundred seventeen million, seven hundred forty-four thousand".