2082627058176 has 480 divisors, whose sum is σ = 7418558664000. Its totient is φ = 574512390144.

The previous prime is 2082627058133. The next prime is 2082627058201. The reversal of 2082627058176 is 6718507262802.

2082627058176 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 627 + 0 + 5 + 8 + 1 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19590895 + ... + 19696913.

It is an arithmetic number, because the mean of its divisors is an integer number (15455330550).

Almost surely, 2^{2082627058176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082627058176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709279332000).

2082627058176 is an abundant number, since it is smaller than the sum of its proper divisors (5335931605824).

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

2082627058176 is a wasteful number, since it uses less digits than its factorization.

2082627058176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106089 (or 106060 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2082627058176 in words is "two trillion, eighty-two billion, six hundred twenty-seven million, fifty-eight thousand, one hundred seventy-six".