2108384054784 has 960 divisors, whose sum is σ = 7529489510400. Its totient is φ = 566719856640.

The previous prime is 2108384054783. The next prime is 2108384054801. The reversal of 2108384054784 is 4874504838012.

2108384054784 is a `hidden beast` number, since 2 + 10 + 8 + 3 + 8 + 4 + 0 + 547 + 84 = 666.

It is a super-2 number, since 2×2108384054784² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2108384054784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108384054783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1812883387 + ... + 1812884549.

It is an arithmetic number, because the mean of its divisors is an integer number (7843218240).

Almost surely, 2^{2108384054784} is an apocalyptic number.

2108384054784 is a gapful number since it is divisible by the number (24) 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 2108384054784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764744755200).

2108384054784 is an abundant number, since it is smaller than the sum of its proper divisors (5421105455616).

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

2108384054784 is a wasteful number, since it uses less digits than its factorization.

2108384054784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2108384054784 in words is "two trillion, one hundred eight billion, three hundred eighty-four million, fifty-four thousand, seven hundred eighty-four".