2243584 has 44 divisors (see below), whose sum is σ = 5142064. Its totient is φ = 958464.

The previous prime is 2243551. The next prime is 2243587. The reversal of 2243584 is 4853422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2⁹ + 2²¹ + 4³ + 3⁷ + 5⁷ + 8 + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7012 + ... + 7324.

2^2243584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571032).

2243584 is an abundant number, since it is smaller than the sum of its proper divisors (2898480).

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

2243584 is an equidigital number, since it uses as much as digits as its factorization.

2243584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 2243584 is about 1497.8598065240. The cubic root of 2243584 is about 130.9123979711.

It can be divided in two parts, 224 and 3584, that multiplied together give a square (802816 = 896²).

The spelling of 2243584 in words is "two million, two hundred forty-three thousand, five hundred eighty-four".