2213424 has 60 divisors (see below), whose sum is σ = 6528600. Its totient is φ = 698112.

The previous prime is 2213423. The next prime is 2213441. The reversal of 2213424 is 4243122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2213397 and 2213406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2332 + ... + 3140.

It is an arithmetic number, because the mean of its divisors is an integer number (108810).

2^2213424 is an apocalyptic number.

2213424 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 2213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264300).

2213424 is an abundant number, since it is smaller than the sum of its proper divisors (4315176).

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

2213424 is a wasteful number, since it uses less digits than its factorization.

2213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2213424 is about 1487.7580448447. The cubic root of 2213424 is about 130.3231408767.

Adding to 2213424 its reverse (4243122), we get a palindrome (6456546).

The spelling of 2213424 in words is "two million, two hundred thirteen thousand, four hundred twenty-four".