2030379015168 has 1056 divisors, whose sum is σ = 7222523443200. Its totient is φ = 561564057600.

The previous prime is 2030379015167. The next prime is 2030379015187. The reversal of 2030379015168 is 8615109730302.

2030379015168 is a `hidden beast` number, since 203 + 0 + 379 + 0 + 15 + 1 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030379015167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6528549733 + ... + 6528550043.

Almost surely, 2^{2030379015168} is an apocalyptic number.

2030379015168 is a gapful number since it is divisible by the number (28) 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 2030379015168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611261721600).

2030379015168 is an abundant number, since it is smaller than the sum of its proper divisors (5192144428032).

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

2030379015168 is a wasteful number, since it uses less digits than its factorization.

2030379015168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2030379015168 in words is "two trillion, thirty billion, three hundred seventy-nine million, fifteen thousand, one hundred sixty-eight".