2105814712320 has 768 divisors, whose sum is σ = 8384055076800. Its totient is φ = 483561308160.

The previous prime is 2105814712283. The next prime is 2105814712367. The reversal of 2105814712320 is 232174185012.

2105814712320 is a `hidden beast` number, since 2 + 1 + 0 + 581 + 4 + 71 + 2 + 3 + 2 + 0 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308179624 + ... + 308186456.

Almost surely, 2^{2105814712320} is an apocalyptic number.

2105814712320 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 2105814712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192027538400).

2105814712320 is an abundant number, since it is smaller than the sum of its proper divisors (6278240364480).

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

2105814712320 is a wasteful number, since it uses less digits than its factorization.

2105814712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 2105814712320 its reverse (232174185012), we get a palindrome (2337988897332).

The spelling of 2105814712320 in words is "two trillion, one hundred five billion, eight hundred fourteen million, seven hundred twelve thousand, three hundred twenty".