2082016832168 has 192 divisors, whose sum is σ = 5244985872000. Its totient is φ = 765580128768.

The previous prime is 2082016832101. The next prime is 2082016832251. The reversal of 2082016832168 is 8612386102802.

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, 4928813 + ... + 5334531.

It is an arithmetic number, because the mean of its divisors is an integer number (27317634750).

Almost surely, 2^{2082016832168} is an apocalyptic number.

2082016832168 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 2082016832168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622492936000).

2082016832168 is an abundant number, since it is smaller than the sum of its proper divisors (3162969039832).

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

2082016832168 is a wasteful number, since it uses less digits than its factorization.

2082016832168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405824 (or 405813 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 2082016832168 in words is "two trillion, eighty-two billion, sixteen million, eight hundred thirty-two thousand, one hundred sixty-eight".