2220442624 has 88 divisors (see below), whose sum is σ = 4728815640. Its totient is φ = 1038483456.

The previous prime is 2220442613. The next prime is 2220442633. The reversal of 2220442624 is 4262440222.

It can be written as a sum of positive squares in 4 ways, for example, as 623001600 + 1597441024 = 24960^2 + 39968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2220442592 and 2220442601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3986154 + ... + 3986710.

Almost surely, 2^2220442624 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 2220442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364407820).

2220442624 is an abundant number, since it is smaller than the sum of its proper divisors (2508373016).

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

2220442624 is a wasteful number, since it uses less digits than its factorization.

2220442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2220442624 is about 47121.5728090649. The cubic root of 2220442624 is about 1304.6074427865.

Adding to 2220442624 its reverse (4262440222), we get a palindrome (6482882846).

The spelling of 2220442624 in words is "two billion, two hundred twenty million, four hundred forty-two thousand, six hundred twenty-four".