2105759613384 has 1280 divisors, whose sum is σ = 7876428595200. Its totient is φ = 511051161600.

The previous prime is 2105759613361. The next prime is 2105759613431. The reversal of 2105759613384 is 4833169575012.

It is a happy number.

2105759613384 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 7 + 596 + 13 + 38 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2105759613384.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3224746402 + ... + 3224747054.

It is an arithmetic number, because the mean of its divisors is an integer number (6153459840).

It is a 1-persistent number, because it is pandigital, but 2⋅2105759613384 = 4211519226768 is not.

Almost surely, 2^{2105759613384} is an apocalyptic number.

2105759613384 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 2105759613384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938214297600).

2105759613384 is an abundant number, since it is smaller than the sum of its proper divisors (5770668981816).

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

2105759613384 is a wasteful number, since it uses less digits than its factorization.

2105759613384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2105759613384 in words is "two trillion, one hundred five billion, seven hundred fifty-nine million, six hundred thirteen thousand, three hundred eighty-four".