2105388930960 has 720 divisors, whose sum is σ = 8335137610800. Its totient is φ = 474821222400.

The previous prime is 2105388930941. The next prime is 2105388930971. The reversal of 2105388930960 is 690398835012.

2105388930960 is a `hidden beast` number, since 2 + 10 + 538 + 8 + 9 + 3 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 165017938176 + 1940370992784 = 406224^2 + 1392972^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2105388930897 and 2105388930906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1243583874 + ... + 1243585566.

It is an arithmetic number, because the mean of its divisors is an integer number (11576580015).

Almost surely, 2^{2105388930960} is an apocalyptic number.

2105388930960 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 2105388930960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167568805400).

2105388930960 is an abundant number, since it is smaller than the sum of its proper divisors (6229748679840).

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

2105388930960 is a wasteful number, since it uses less digits than its factorization.

2105388930960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2105388930960 in words is "two trillion, one hundred five billion, three hundred eighty-eight million, nine hundred thirty thousand, nine hundred sixty".