2056683841536 has 192 divisors, whose sum is σ = 5562459302400. Its totient is φ = 675685122048.

The previous prime is 2056683841523. The next prime is 2056683841549. The reversal of 2056683841536 is 6351483866502.

It is an interprime number because it is at equal distance from previous prime (2056683841523) and next prime (2056683841549).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223864335 + ... + 223873521.

It is an arithmetic number, because the mean of its divisors is an integer number (28971142200).

Almost surely, 2^{2056683841536} 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 2056683841536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781229651200).

2056683841536 is an abundant number, since it is smaller than the sum of its proper divisors (3505775460864).

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

2056683841536 is an equidigital number, since it uses as much as digits as its factorization.

2056683841536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 2056683841536 in words is "two trillion, fifty-six billion, six hundred eighty-three million, eight hundred forty-one thousand, five hundred thirty-six".