2261584 has 40 divisors (see below), whose sum is σ = 4812192. Its totient is φ = 1023360.

The previous prime is 2261573. The next prime is 2261587. The reversal of 2261584 is 4851622.

It is a super-2 number, since 2×2261584² = 10229524378112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17199 + ... + 17329.

2^2261584 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 2261584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406096).

2261584 is an abundant number, since it is smaller than the sum of its proper divisors (2550608).

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

2261584 is a wasteful number, since it uses less digits than its factorization.

2261584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2261584 is about 1503.8563761211. The cubic root of 2261584 is about 131.2615639093.

The spelling of 2261584 in words is "two million, two hundred sixty-one thousand, five hundred eighty-four".