242241504 has 48 divisors (see below), whose sum is σ = 638951040. Its totient is φ = 80357760.

The previous prime is 242241499. The next prime is 242241509. The reversal of 242241504 is 405142242.

It is a happy number.

242241504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242241499) and next prime (242241509).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242241509) 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, 14277 + ... + 26235.

It is an arithmetic number, because the mean of its divisors is an integer number (13311480).

Almost surely, 2^242241504 is an apocalyptic number.

242241504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319475520).

242241504 is an abundant number, since it is smaller than the sum of its proper divisors (396709536).

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

242241504 is a wasteful number, since it uses less digits than its factorization.

242241504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12183 (or 12175 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 242241504 is about 15564.1094830382. The cubic root of 242241504 is about 623.3751964284.

Adding to 242241504 its reverse (405142242), we get a palindrome (647383746).

The spelling of 242241504 in words is "two hundred forty-two million, two hundred forty-one thousand, five hundred four".