2189200 has 60 divisors (see below), whose sum is σ = 5677588. Its totient is φ = 806400.

The previous prime is 2189183. The next prime is 2189207. The reversal of 2189200 is 29812.

2189200 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 898704 + 1290496 = 948^2 + 1136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4990 + ... + 5410.

2^2189200 is an apocalyptic number.

2189200 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 2189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838794).

2189200 is an abundant number, since it is smaller than the sum of its proper divisors (3488388).

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

2189200 is a wasteful number, since it uses less digits than its factorization.

2189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2189200 is about 1479.5945390545. The cubic root of 2189200 is about 129.8459714197.

The spelling of 2189200 in words is "two million, one hundred eighty-nine thousand, two hundred".