2263584 has 96 divisors (see below), whose sum is σ = 6713280. Its totient is φ = 663552.

The previous prime is 2263579. The next prime is 2263619. The reversal of 2263584 is 4853622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 2¹⁴ + 2¹⁸ + 6² + 3¹³ + 5⁸ + 8 + 4³ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30972 + ... + 31044.

It is an arithmetic number, because the mean of its divisors is an integer number (69930).

2^2263584 is an apocalyptic number.

2263584 is a gapful number since it is divisible by the number (24) 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 2263584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356640).

2263584 is an abundant number, since it is smaller than the sum of its proper divisors (4449696).

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

2263584 is a wasteful number, since it uses less digits than its factorization.

2263584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2263584 is about 1504.5211862915. The cubic root of 2263584 is about 131.3002456149.

The spelling of 2263584 in words is "two million, two hundred sixty-three thousand, five hundred eighty-four".