2092391516160 has 768 divisors, whose sum is σ = 8141122080000. Its totient is φ = 505549946880.

The previous prime is 2092391516057. The next prime is 2092391516177. The reversal of 2092391516160 is 616151932902.

2092391516160 is a `hidden beast` number, since 2 + 0 + 9 + 23 + 9 + 1 + 5 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2092391516160² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073570866 + ... + 1073572814.

It is an arithmetic number, because the mean of its divisors is an integer number (10600419375).

Almost surely, 2^{2092391516160} is an apocalyptic number.

2092391516160 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 2092391516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070561040000).

2092391516160 is an abundant number, since it is smaller than the sum of its proper divisors (6048730563840).

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

2092391516160 is a wasteful number, since it uses less digits than its factorization.

2092391516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 2092391516160 in words is "two trillion, ninety-two billion, three hundred ninety-one million, five hundred sixteen thousand, one hundred sixty".