2982200 has 96 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 1036800.

The previous prime is 2982193. The next prime is 2982223. The reversal of 2982200 is 22892.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80582 + ... + 80618.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

2^2982200 is an apocalyptic number.

2982200 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 2982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2982200 is an abundant number, since it is smaller than the sum of its proper divisors (4933960).

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

2982200 is a wasteful number, since it uses less digits than its factorization.

2982200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2982200 is about 1726.9047454912. The cubic root of 2982200 is about 143.9391460977.

The spelling of 2982200 in words is "two million, nine hundred eighty-two thousand, two hundred".