2442142300 has 72 divisors (see below), whose sum is σ = 5955306336. Its totient is φ = 862498560.

The previous prime is 2442142279. The next prime is 2442142303. The reversal of 2442142300 is 32412442.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442142303) 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 23 ways as a sum of consecutive naturals, for example, 10939 + ... + 70738.

It is an arithmetic number, because the mean of its divisors is an integer number (82712588).

Almost surely, 2^2442142300 is an apocalyptic number.

2442142300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442142300 is an abundant number, since it is smaller than the sum of its proper divisors (3513164036).

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

2442142300 is a wasteful number, since it uses less digits than its factorization.

2442142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81727 (or 81720 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2442142300 is about 49418.0361811353. The cubic root of 2442142300 is about 1346.6569868544.

Adding to 2442142300 its reverse (32412442), we get a palindrome (2474554742).

It can be divided in two parts, 2442142 and 300, that added together give a palindrome (2442442).

The spelling of 2442142300 in words is "two billion, four hundred forty-two million, one hundred forty-two thousand, three hundred".