2213408 has 18 divisors (see below), whose sum is σ = 4374279. Its totient is φ = 1102496.

The previous prime is 2213401. The next prime is 2213411. The reversal of 2213408 is 8043122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1106704 + 1106704 = 1052^2 + 1052^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1052.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2213408.

It is not an unprimeable number, because it can be changed into a prime (2213401) 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 in 2 ways as a sum of consecutive naturals, for example, 8285 + ... + 8547.

2^2213408 is an apocalyptic number.

It is an amenable number.

2213408 is a deficient number, since it is larger than the sum of its proper divisors (2160871).

2213408 is an frugal number, since it uses more digits than its factorization.

2213408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2213408 is about 1487.7526676165. The cubic root of 2213408 is about 130.3228268571.

The spelling of 2213408 in words is "two million, two hundred thirteen thousand, four hundred eight".