2213624 has 24 divisors (see below), whose sum is σ = 4829040. Its totient is φ = 948528.

The previous prime is 2213623. The next prime is 2213647. The reversal of 2213624 is 4263122.

2213624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 2⁹ + 1 + 3¹² + 6⁸ + 2¹¹ + 4 .

It is a junction number, because it is equal to n+sod(n) for n = 2213596 and 2213605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2432 + ... + 3215.

It is an arithmetic number, because the mean of its divisors is an integer number (201210).

2^2213624 is an apocalyptic number.

It is an amenable number.

2213624 is an abundant number, since it is smaller than the sum of its proper divisors (2615416).

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

2213624 is a wasteful number, since it uses less digits than its factorization.

2213624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5656 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 2213624 is about 1487.8252585569. The cubic root of 2213624 is about 130.3270659935.

Adding to 2213624 its reverse (4263122), we get a palindrome (6476746).

The spelling of 2213624 in words is "two million, two hundred thirteen thousand, six hundred twenty-four".