2123584 has 14 divisors (see below), whose sum is σ = 4214114. Its totient is φ = 1061760.

The previous prime is 2123581. The next prime is 2123603. The reversal of 2123584 is 4853212.

2123584 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1763584 + 360000 = 1328^2 + 600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123581) 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 as a sum of consecutive naturals, namely, 16527 + ... + 16654.

2^2123584 is an apocalyptic number.

It is an amenable number.

2123584 is a deficient number, since it is larger than the sum of its proper divisors (2090530).

2123584 is an equidigital number, since it uses as much as digits as its factorization.

2123584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33193 (or 33183 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 2123584 is about 1457.2522087820. The cubic root of 2123584 is about 128.5355168369.

Adding to 2123584 its reverse (4853212), we get a palindrome (6976796).

The spelling of 2123584 in words is "two million, one hundred twenty-three thousand, five hundred eighty-four".