242130042 has 96 divisors (see below), whose sum is σ = 661175424. Its totient is φ = 62208000.

The previous prime is 242130029. The next prime is 242130043. The reversal of 242130042 is 240031242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242129997 and 242130024.

It is not an unprimeable number, because it can be changed into a prime (242130043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133542 + ... + 135342.

It is an arithmetic number, because the mean of its divisors is an integer number (6887244).

Almost surely, 2^242130042 is an apocalyptic number.

242130042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242130042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330587712).

242130042 is an abundant number, since it is smaller than the sum of its proper divisors (419045382).

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

242130042 is a wasteful number, since it uses less digits than its factorization.

242130042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242130042 is about 15560.5283329327. The cubic root of 242130042 is about 623.2795710508.

Adding to 242130042 its reverse (240031242), we get a palindrome (482161284).

The spelling of 242130042 in words is "two hundred forty-two million, one hundred thirty thousand, forty-two".