2082368336832 has 336 divisors, whose sum is σ = 7238582903552. Its totient is φ = 581124741120.

The previous prime is 2082368336801. The next prime is 2082368336879. The reversal of 2082368336832 is 2386338632802.

2082368336832 is a `hidden beast` number, since 208 + 23 + 6 + 8 + 336 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 4458732 + ... + 4903572.

Almost surely, 2^{2082368336832} 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 2082368336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619291451776).

2082368336832 is an abundant number, since it is smaller than the sum of its proper divisors (5156214566720).

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

2082368336832 is an equidigital number, since it uses as much as digits as its factorization.

2082368336832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444918 (or 444896 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 2082368336832 in words is "two trillion, eighty-two billion, three hundred sixty-eight million, three hundred thirty-six thousand, eight hundred thirty-two".