2082057696 has 240 divisors, whose sum is σ = 6552120960. Its totient is φ = 646652160.

The previous prime is 2082057683. The next prime is 2082057749. The reversal of 2082057696 is 6967502802.

2082057696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3299301 + ... + 3299931.

It is an arithmetic number, because the mean of its divisors is an integer number (27300504).

Almost surely, 2^2082057696 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 2082057696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276060480).

2082057696 is an abundant number, since it is smaller than the sum of its proper divisors (4470063264).

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

2082057696 is a wasteful number, since it uses less digits than its factorization.

2082057696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2082057696 is about 45629.5704121790. The cubic root of 2082057696 is about 1276.9216586546.

The spelling of 2082057696 in words is "two billion, eighty-two million, fifty-seven thousand, six hundred ninety-six".