2218312832 has 72 divisors (see below), whose sum is σ = 4645457145. Its totient is φ = 1055070720.

The previous prime is 2218312801. The next prime is 2218312843. The reversal of 2218312832 is 2382138122.

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 2 ways, for example, as 1340731456 + 877581376 = 36616^2 + 29624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33304.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12255782 + ... + 12255962.

Almost surely, 2^2218312832 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 2218312832

2218312832 is an abundant number, since it is smaller than the sum of its proper divisors (2427144313).

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

2218312832 is an frugal number, since it uses more digits than its factorization.

2218312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 206 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 2218312832 is about 47098.9684812736. The cubic root of 2218312832 is about 1304.1901939450.

Multiplying 2218312832 by its sum of digits (32), we get a square (70986010624 = 266432²).

2218312832 divided by its sum of digits (32) gives a square (69322276 = 8326²).

The spelling of 2218312832 in words is "two billion, two hundred eighteen million, three hundred twelve thousand, eight hundred thirty-two".