2139584 has 28 divisors (see below), whose sum is σ = 4300728. Its totient is φ = 1056000.

The previous prime is 2139583. The next prime is 2139607. The reversal of 2139584 is 4859312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2139584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6299 + ... + 6629.

2^2139584 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 2139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150364).

2139584 is an abundant number, since it is smaller than the sum of its proper divisors (2161144).

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

2139584 is a wasteful number, since it uses less digits than its factorization.

2139584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 2139584 is about 1462.7316910493. The cubic root of 2139584 is about 128.8575235256.

The spelling of 2139584 in words is "two million, one hundred thirty-nine thousand, five hundred eighty-four".