2105660340360 has 384 divisors, whose sum is σ = 7274609971200. Its totient is φ = 526727577600.

The previous prime is 2105660340347. The next prime is 2105660340383. The reversal of 2105660340360 is 630430665012.

2105660340360 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 6 + 603 + 40 + 3 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 501226260 + ... + 501230460.

It is an arithmetic number, because the mean of its divisors is an integer number (18944296800).

Almost surely, 2^{2105660340360} is an apocalyptic number.

2105660340360 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 2105660340360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637304985600).

2105660340360 is an abundant number, since it is smaller than the sum of its proper divisors (5168949630840).

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

2105660340360 is a wasteful number, since it uses less digits than its factorization.

2105660340360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2105660340360 in words is "two trillion, one hundred five billion, six hundred sixty million, three hundred forty thousand, three hundred sixty".