2220431616 has 180 divisors, whose sum is σ = 7131092892. Its totient is φ = 683126784.

The previous prime is 2220431597. The next prime is 2220431617. The reversal of 2220431616 is 6161340222.

2220431616 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 43 + 1 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 829440000 + 1390991616 = 28800^2 + 37296^2 .

It is a super-2 number, since 2×2220431616² = 9860633122664742912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2220431616.

It is not an unprimeable number, because it can be changed into a prime (2220431617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 265450 + ... + 273686.

Almost surely, 2^2220431616 is an apocalyptic number.

2220431616 is a gapful number since it is divisible by the number (26) 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 2220431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565546446).

2220431616 is an abundant number, since it is smaller than the sum of its proper divisors (4910661276).

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

2220431616 is an equidigital number, since it uses as much as digits as its factorization.

2220431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2220431616 is about 47121.4560046695. The cubic root of 2220431616 is about 1304.6052868886.

Adding to 2220431616 its reverse (6161340222), we get a palindrome (8381771838).

The spelling of 2220431616 in words is "two billion, two hundred twenty million, four hundred thirty-one thousand, six hundred sixteen".