2218312320 has 768 divisors, whose sum is σ = 9293097600. Its totient is φ = 445906944.

The previous prime is 2218312253. The next prime is 2218312321. The reversal of 2218312320 is 232138122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2218312321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30387804 + ... + 30387876.

Almost surely, 2^2218312320 is an apocalyptic number.

2218312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646548800).

2218312320 is an abundant number, since it is smaller than the sum of its proper divisors (7074785280).

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

2218312320 is a wasteful number, since it uses less digits than its factorization.

2218312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2218312320 is about 47098.9630459100. The cubic root of 2218312320 is about 1304.1900936067.

The spelling of 2218312320 in words is "two billion, two hundred eighteen million, three hundred twelve thousand, three hundred twenty".