2251584 has 56 divisors (see below), whose sum is σ = 6624320. Its totient is φ = 749952.

The previous prime is 2251573. The next prime is 2251591. The reversal of 2251584 is 4851522.

It is a happy number.

2251584 is digitally balanced in base 5, because in such base 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077 + ... + 2379.

2^2251584 is an apocalyptic number.

2251584 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 2251584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312160).

2251584 is an abundant number, since it is smaller than the sum of its proper divisors (4372736).

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

2251584 is a wasteful number, since it uses less digits than its factorization.

2251584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1308 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2251584 is about 1500.5279071047. The cubic root of 2251584 is about 131.0678125296.

The spelling of 2251584 in words is "two million, two hundred fifty-one thousand, five hundred eighty-four".