2220005632 has 162 divisors, whose sum is σ = 5067843522. Its totient is φ = 969965568.

The previous prime is 2220005611. The next prime is 2220005633. The reversal of 2220005632 is 2365000222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 2218786816 = 1104^2 + 47104^2 .

It is a super-2 number, since 2×2220005632² = 9856850012223438848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220005633) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22886608 + ... + 22886704.

Almost surely, 2^2220005632 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 2220005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533921761).

2220005632 is an abundant number, since it is smaller than the sum of its proper divisors (2847837890).

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

2220005632 is an equidigital number, since it uses as much as digits as its factorization.

2220005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2220005632 is about 47116.9357237926. The cubic root of 2220005632 is about 1304.5218531818.

Adding to 2220005632 its reverse (2365000222), we get a palindrome (4585005854).

The spelling of 2220005632 in words is "two billion, two hundred twenty million, five thousand, six hundred thirty-two".