2243600 has 60 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 873600.

The previous prime is 2243597. The next prime is 2243617. The reversal of 2243600 is 63422.

2243600 is nontrivially palindromic in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28361 + ... + 28439.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

2^2243600 is an apocalyptic number.

2243600 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 2243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2243600 is an abundant number, since it is smaller than the sum of its proper divisors (3291760).

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

2243600 is a wasteful number, since it uses less digits than its factorization.

2243600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2243600 is about 1497.8651474682. The cubic root of 2243600 is about 130.9127091686.

The spelling of 2243600 in words is "two million, two hundred forty-three thousand, six hundred".