2056083638656 has 128 divisors (see below), whose sum is σ = 4176287216640. Its totient is φ = 1008132403200.

The previous prime is 2056083638611. The next prime is 2056083638657. The reversal of 2056083638656 is 6568363806502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2056083638656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056083638657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874555881 + ... + 874558231.

It is an arithmetic number, because the mean of its divisors is an integer number (32627243880).

Almost surely, 2^{2056083638656} 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 2056083638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088143608320).

2056083638656 is an abundant number, since it is smaller than the sum of its proper divisors (2120203577984).

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

2056083638656 is a wasteful number, since it uses less digits than its factorization.

2056083638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 58.

The spelling of 2056083638656 in words is "two trillion, fifty-six billion, eighty-three million, six hundred thirty-eight thousand, six hundred fifty-six".