2213608401 has 9 divisors (see below), whose sum is σ = 3197638249. Its totient is φ = 1475644836.

The previous prime is 2213608373. The next prime is 2213608417. The reversal of 2213608401 is 1048063122.

The square root of 2213608401 is 47049.

It is a perfect power (a square), and thus also a powerful number.

2213608401 is a `hidden beast` number, since 2 + 2 + 13 + 608 + 40 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2213608401 - 2⁹ = 2213607889 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2213608421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133306 + ... + 148988.

Almost surely, 2^2213608401 is an apocalyptic number.

2213608401 is the 47049-th square number.

2213608401 is the 23525-th centered octagonal number.

It is an amenable number.

2213608401 is a deficient number, since it is larger than the sum of its proper divisors (984029848).

2213608401 is an frugal number, since it uses more digits than its factorization.

2213608401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31372 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 2213608401 is about 1303.2675986249.

Multiplying 2213608401 by its product of nonzero digits (2304), we get a square (5100153755904 = 2258352²).

The spelling of 2213608401 in words is "two billion, two hundred thirteen million, six hundred eight thousand, four hundred one".