2083195296 has 288 divisors, whose sum is σ = 7372729728. Its totient is φ = 543283200.

The previous prime is 2083195273. The next prime is 2083195327. The reversal of 2083195296 is 6925913802.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2646615 + ... + 2647401.

It is an arithmetic number, because the mean of its divisors is an integer number (25599756).

Almost surely, 2^2083195296 is an apocalyptic number.

2083195296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083195296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686364864).

2083195296 is an abundant number, since it is smaller than the sum of its proper divisors (5289534432).

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

2083195296 is a wasteful number, since it uses less digits than its factorization.

2083195296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2083195296 is about 45642.0343104906. The cubic root of 2083195296 is about 1277.1541788834.

The spelling of 2083195296 in words is "two billion, eighty-three million, one hundred ninety-five thousand, two hundred ninety-six".