242000024 has 48 divisors (see below), whose sum is σ = 532097280. Its totient is φ = 102876480.

The previous prime is 242000023. The next prime is 242000027. The reversal of 242000024 is 420000242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 241999972 and 242000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242000023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47354 + ... + 52214.

It is an arithmetic number, because the mean of its divisors is an integer number (11085360).

Almost surely, 2^242000024 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 242000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266048640).

242000024 is an abundant number, since it is smaller than the sum of its proper divisors (290097256).

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

242000024 is a wasteful number, since it uses less digits than its factorization.

242000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 242000024 is about 15556.3499574932. The cubic root of 242000024 is about 623.1679890376.

Adding to 242000024 its reverse (420000242), we get a palindrome (662000266).

It can be divided in two parts, 2 and 42000024, that multiplied together give a palindrome (84000048).

The spelling of 242000024 in words is "two hundred forty-two million, twenty-four", and thus it is an aban number.