2201584 has 40 divisors (see below), whose sum is σ = 5321088. Its totient is φ = 857280.

The previous prime is 2201581. The next prime is 2201597. The reversal of 2201584 is 4851022.

2201584 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339 + ... + 2125.

2^2201584 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 2201584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660544).

2201584 is an abundant number, since it is smaller than the sum of its proper divisors (3119504).

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

2201584 is a wasteful number, since it uses less digits than its factorization.

2201584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2201584 is about 1483.7735676309. The cubic root of 2201584 is about 130.0903513915.

The spelling of 2201584 in words is "two million, two hundred one thousand, five hundred eighty-four".