242220042540 has 288 divisors, whose sum is σ = 869858196480. Its totient is φ = 53381196288.

The previous prime is 242220042521. The next prime is 242220042541. The reversal of 242220042540 is 45240022242.

242220042540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242220042541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28752769 + ... + 28761191.

It is an arithmetic number, because the mean of its divisors is an integer number (3020340960).

Almost surely, 2^242220042540 is an apocalyptic number.

242220042540 is a gapful number since it is divisible by the number (20) 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 242220042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434929098240).

242220042540 is an abundant number, since it is smaller than the sum of its proper divisors (627638153940).

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

242220042540 is a wasteful number, since it uses less digits than its factorization.

242220042540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 242220042540 its reverse (45240022242), we get a palindrome (287460064782).

The spelling of 242220042540 in words is "two hundred forty-two billion, two hundred twenty million, forty-two thousand, five hundred forty".