242024440224 has 48 divisors (see below), whose sum is σ = 726073322688. Its totient is φ = 69149839872.

The previous prime is 242024440223. The next prime is 242024440253. The reversal of 242024440224 is 422044420242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 242024440191 and 242024440200.

It is not an unprimeable number, because it can be changed into a prime (242024440223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180077037 + ... + 180078380.

It is an arithmetic number, because the mean of its divisors is an integer number (15126527556).

Almost surely, 2^242024440224 is an apocalyptic number.

242024440224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242024440224 is an abundant number, since it is smaller than the sum of its proper divisors (484048882464).

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

242024440224 is a wasteful number, since it uses less digits than its factorization.

242024440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360155437 (or 360155429 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 242024440224 its reverse (422044420242), we get a palindrome (664068860466).

The spelling of 242024440224 in words is "two hundred forty-two billion, twenty-four million, four hundred forty thousand, two hundred twenty-four".