2083185216 has 420 divisors, whose sum is σ = 7357719600. Its totient is φ = 580898304.

The previous prime is 2083185199. The next prime is 2083185263. The reversal of 2083185216 is 6125813802.

2083185216 = 128³ + 129³ + ... + 304³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 14986875 + ... + 14987013.

It is an arithmetic number, because the mean of its divisors is an integer number (17518380).

Almost surely, 2^2083185216 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 2083185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678859800).

2083185216 is an abundant number, since it is smaller than the sum of its proper divisors (5274534384).

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

2083185216 is a wasteful number, since it uses less digits than its factorization.

2083185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2083185216 is about 45641.9238858311. The cubic root of 2083185216 is about 1277.1521189494.

The spelling of 2083185216 in words is "two billion, eighty-three million, one hundred eighty-five thousand, two hundred sixteen".