2220400004224 has 32 divisors (see below), whose sum is σ = 4531342244940. Its totient is φ = 1083121950720.

The previous prime is 2220400004203. The next prime is 2220400004231. The reversal of 2220400004224 is 4224000040222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2198007874624 + 22392129600 = 1482568^2 + 149640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2220400004195 and 2220400004204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211542009 + ... + 211552504.

Almost surely, 2^{2220400004224} is an apocalyptic number.

It is an amenable number.

2220400004224 is an abundant number, since it is smaller than the sum of its proper divisors (2310942240716).

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

2220400004224 is an equidigital number, since it uses as much as digits as its factorization.

2220400004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423094568 (or 423094556 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2220400004224 its reverse (4224000040222), we get a palindrome (6444400044446).

The spelling of 2220400004224 in words is "two trillion, two hundred twenty billion, four hundred million, four thousand, two hundred twenty-four".