2105692744320 has 384 divisors, whose sum is σ = 8226033641280. Its totient is φ = 510470553600.

The previous prime is 2105692744303. The next prime is 2105692744321. The reversal of 2105692744320 is 234472965012.

2105692744320 is a `hidden beast` number, since 2 + 1 + 0 + 56 + 9 + 274 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2105692744321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095280 + ... + 2326160.

Almost surely, 2^{2105692744320} is an apocalyptic number.

2105692744320 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 2105692744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113016820640).

2105692744320 is an abundant number, since it is smaller than the sum of its proper divisors (6120340896960).

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

2105692744320 is a wasteful number, since it uses less digits than its factorization.

2105692744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230926 (or 1230902 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2105692744320 in words is "two trillion, one hundred five billion, six hundred ninety-two million, seven hundred forty-four thousand, three hundred twenty".