2213620 has 12 divisors (see below), whose sum is σ = 4648644. Its totient is φ = 885440.

The previous prime is 2213609. The next prime is 2213623. The reversal of 2213620 is 263122.

2213620 is digitally balanced in base 2, 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 2 ways, for example, as 1205604 + 1008016 = 1098^2 + 1004^2 .

It is a super-4 number, since 4×2213620⁴ (a number of 26 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 2 + 2⁹ + 1 + 3¹² + 6⁸ + 2¹¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2213594 and 2213603.

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 3 ways as a sum of consecutive naturals, for example, 55321 + ... + 55360.

It is an arithmetic number, because the mean of its divisors is an integer number (387387).

2^2213620 is an apocalyptic number.

2213620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213620 is an abundant number, since it is smaller than the sum of its proper divisors (2435024).

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

2213620 is a wasteful number, since it uses less digits than its factorization.

2213620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110690 (or 110688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2213620 is about 1487.8239143124. The cubic root of 2213620 is about 130.3269874935.

Adding to 2213620 its reverse (263122), we get a palindrome (2476742).

The spelling of 2213620 in words is "two million, two hundred thirteen thousand, six hundred twenty".