2213218440 has 96 divisors (see below), whose sum is σ = 7616096280. Its totient is φ = 555472896.

The previous prime is 2213218387. The next prime is 2213218487. The reversal of 2213218440 is 448123122.

2213218440 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 218 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1847108484 + 366109956 = 42978^2 + 19134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174699 + ... + 186938.

Almost surely, 2^2213218440 is an apocalyptic number.

2213218440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213218440 is an abundant number, since it is smaller than the sum of its proper divisors (5402877840).

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

2213218440 is a wasteful number, since it uses less digits than its factorization.

2213218440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361671 (or 361664 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2213218440 is about 47044.8556167409. The cubic root of 2213218440 is about 1303.1910639523.

The spelling of 2213218440 in words is "two billion, two hundred thirteen million, two hundred eighteen thousand, four hundred forty".