242003024 has 40 divisors (see below), whose sum is σ = 497736000. Its totient is φ = 113591808.

The previous prime is 242002967. The next prime is 242003029. The reversal of 242003024 is 420300242.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 242002993 and 242003011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242003029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134837 + ... + 136619.

It is an arithmetic number, because the mean of its divisors is an integer number (12443400).

Almost surely, 2^242003024 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 242003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248868000).

242003024 is an abundant number, since it is smaller than the sum of its proper divisors (255732976).

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

242003024 is a wasteful number, since it uses less digits than its factorization.

242003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 242003024 is about 15556.4463808416. The cubic root of 242003024 is about 623.1705641010.

Adding to 242003024 its reverse (420300242), we get a palindrome (662303266).

The spelling of 242003024 in words is "two hundred forty-two million, three thousand, twenty-four".