2213616 has 40 divisors (see below), whose sum is σ = 5785344. Its totient is φ = 729280.

The previous prime is 2213609. The next prime is 2213623. The reversal of 2213616 is 6163122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2213609) and next prime (2213623).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 = 2213592 and 2213601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4921 + ... + 5351.

2^2213616 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 2213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892672).

2213616 is an abundant number, since it is smaller than the sum of its proper divisors (3571728).

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

2213616 is a wasteful number, since it uses less digits than its factorization.

2213616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2213616 is about 1487.8225700667. The cubic root of 2213616 is about 130.3269089933.

Adding to 2213616 its reverse (6163122), we get a palindrome (8376738).

The spelling of 2213616 in words is "two million, two hundred thirteen thousand, six hundred sixteen".