2083331200 has 96 divisors (see below), whose sum is σ = 5159530260. Its totient is φ = 831221760.

The previous prime is 2083331183. The next prime is 2083331219. The reversal of 2083331200 is 21333802.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 872847936 + 1210483264 = 29544^2 + 34792^2 .

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 11 ways as a sum of consecutive naturals, for example, 2089102 + ... + 2090098.

Almost surely, 2^2083331200 is an apocalyptic number.

2083331200 is a gapful number since it is divisible by the number (20) 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 2083331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579765130).

2083331200 is an abundant number, since it is smaller than the sum of its proper divisors (3076199060).

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

2083331200 is an equidigital number, since it uses as much as digits as its factorization.

2083331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2083331200 is about 45643.5230892621. The cubic root of 2083331200 is about 1277.1819513775.

The spelling of 2083331200 in words is "two billion, eighty-three million, three hundred thirty-one thousand, two hundred".