2442464220224 has 42 divisors (see below), whose sum is σ = 5638073505390. Its totient is φ = 1046770378752.

The previous prime is 2442464220223. The next prime is 2442464220257. The reversal of 2442464220224 is 4220224642442.

It can be written as a sum of positive squares in only one way, i.e., 2144959426624 + 297504793600 = 1464568^2 + 545440^2 .

It is a super-2 number, since 2×2442464220224² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2442464220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 389420369 + ... + 389426640.

Almost surely, 2^{2442464220224} is an apocalyptic number.

It is an amenable number.

2442464220224 is an abundant number, since it is smaller than the sum of its proper divisors (3195609285166).

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

2442464220224 is an equidigital number, since it uses as much as digits as its factorization.

2442464220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778847035 (or 778847018 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 2442464220224 its reverse (4220224642442), we get a palindrome (6662688862666).

The spelling of 2442464220224 in words is "two trillion, four hundred forty-two billion, four hundred sixty-four million, two hundred twenty thousand, two hundred twenty-four".