2220312330 has 128 divisors (see below), whose sum is σ = 6059289600. Its totient is φ = 578394432.

The previous prime is 2220312313. The next prime is 2220312331. The reversal of 2220312330 is 332130222.

It is a happy number.

2220312330 is a `hidden beast` number, since 2 + 2 + 20 + 312 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2220312331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2514069 + ... + 2514951.

It is an arithmetic number, because the mean of its divisors is an integer number (47338200).

Almost surely, 2^2220312330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029644800).

2220312330 is an abundant number, since it is smaller than the sum of its proper divisors (3838977270).

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

2220312330 is a wasteful number, since it uses less digits than its factorization.

2220312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2220312330 is about 47120.1902585293. The cubic root of 2220312330 is about 1304.5819244739.

Adding to 2220312330 its reverse (332130222), we get a palindrome (2552442552).

The spelling of 2220312330 in words is "two billion, two hundred twenty million, three hundred twelve thousand, three hundred thirty".