2089584 has 80 divisors (see below), whose sum is σ = 6864640. Its totient is φ = 596160.

The previous prime is 2089583. The next prime is 2089613. The reversal of 2089584 is 4859802.

It is a super-2 number, since 2×2089584² = 8732722586112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2679 + ... + 3369.

It is an arithmetic number, because the mean of its divisors is an integer number (85808).

2^2089584 is an apocalyptic number.

2089584 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 2089584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432320).

2089584 is an abundant number, since it is smaller than the sum of its proper divisors (4775056).

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

2089584 is a wasteful number, since it uses less digits than its factorization.

2089584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2089584 is about 1445.5393457115. The cubic root of 2089584 is about 127.8458430613.

The spelling of 2089584 in words is "two million, eighty-nine thousand, five hundred eighty-four".