2084283933696 has 220 divisors, whose sum is σ = 6392307086748. Its totient is φ = 675982983168.

The previous prime is 2084283933671. The next prime is 2084283933737. The reversal of 2084283933696 is 6963393824802.

2084283933696 is a `hidden beast` number, since 2 + 0 + 8 + 428 + 3 + 93 + 36 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 760495620096 + 1323788313600 = 872064^2 + 1150560^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2729350 + ... + 3408506.

Almost surely, 2^{2084283933696} 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 2084283933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196153543374).

2084283933696 is an abundant number, since it is smaller than the sum of its proper divisors (4308023153052).

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

2084283933696 is an equidigital number, since it uses as much as digits as its factorization.

2084283933696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679226 (or 679199 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 2084283933696 in words is "two trillion, eighty-four billion, two hundred eighty-three million, nine hundred thirty-three thousand, six hundred ninety-six".