2218424832 has 240 divisors, whose sum is σ = 7138371240. Its totient is φ = 658538496.

The previous prime is 2218424783. The next prime is 2218424837. The reversal of 2218424832 is 2384248122.

2218424832 is a `hidden beast` number, since 221 + 8 + 424 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1715947776 + 502477056 = 41424^2 + 22416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2218424837) 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 23 ways as a sum of consecutive naturals, for example, 1736578 + ... + 1737854.

Almost surely, 2^2218424832 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 2218424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569185620).

2218424832 is an abundant number, since it is smaller than the sum of its proper divisors (4919946408).

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

2218424832 is a wasteful number, since it uses less digits than its factorization.

2218424832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1324 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2218424832 is about 47100.1574519661. The cubic root of 2218424832 is about 1304.2121425841.

The spelling of 2218424832 in words is "two billion, two hundred eighteen million, four hundred twenty-four thousand, eight hundred thirty-two".