242321024 has 64 divisors (see below), whose sum is σ = 535744800. Its totient is φ = 108241920.

The previous prime is 242321021. The next prime is 242321033. The reversal of 242321024 is 420123242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 242320987 and 242321005.

It is not an unprimeable number, because it can be changed into a prime (242321021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81614 + ... + 84530.

Almost surely, 2^242321024 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 242321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267872400).

242321024 is an abundant number, since it is smaller than the sum of its proper divisors (293423776).

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

242321024 is a wasteful number, since it uses less digits than its factorization.

242321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242321024 is about 15566.6638686650. The cubic root of 242321024 is about 623.4434002272.

Adding to 242321024 its reverse (420123242), we get a palindrome (662444266).

The spelling of 242321024 in words is "two hundred forty-two million, three hundred twenty-one thousand, twenty-four".