2289200 has 60 divisors (see below), whose sum is σ = 5650680. Its totient is φ = 890880.

The previous prime is 2289197. The next prime is 2289211. The reversal of 2289200 is 29822.

2289200 = T₆₄ + T₆₅ + ... + T₂₄₀.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23552 + ... + 23648.

It is an arithmetic number, because the mean of its divisors is an integer number (94178).

2^2289200 is an apocalyptic number.

2289200 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 2289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825340).

2289200 is an abundant number, since it is smaller than the sum of its proper divisors (3361480).

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

2289200 is a wasteful number, since it uses less digits than its factorization.

2289200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

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

The square root of 2289200 is about 1513.0102445126. The cubic root of 2289200 is about 131.7936782904.

The spelling of 2289200 in words is "two million, two hundred eighty-nine thousand, two hundred".