2220212320 has 192 divisors, whose sum is σ = 5791564800. Its totient is φ = 801239040.

The previous prime is 2220212311. The next prime is 2220212327. The reversal of 2220212320 is 232120222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2220212294 and 2220212303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220212327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5857891 + ... + 5858269.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^2220212320 is an apocalyptic number.

2220212320 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 2220212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895782400).

2220212320 is an abundant number, since it is smaller than the sum of its proper divisors (3571352480).

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

2220212320 is a wasteful number, since it uses less digits than its factorization.

2220212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2220212320 is about 47119.1290242084. The cubic root of 2220212320 is about 1304.5623366595.

Adding to 2220212320 its reverse (232120222), we get a palindrome (2452332542).

The spelling of 2220212320 in words is "two billion, two hundred twenty million, two hundred twelve thousand, three hundred twenty".