242006221530 has 240 divisors, whose sum is σ = 709965648216. Its totient is φ = 59095111680.

The previous prime is 242006221511. The next prime is 242006221531. The reversal of 242006221530 is 35122600242.

It is a happy number.

242006221530 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 0 + 622 + 1 + 5 + 30 = 666.

242006221530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 133721131041 + 108285090489 = 365679^2 + 329067^2 .

It is a super-2 number, since 2×242006221530² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242006221494 and 242006221503.

It is not an unprimeable number, because it can be changed into a prime (242006221531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8647360 + ... + 8675300.

Almost surely, 2^242006221530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242006221530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354982824108).

242006221530 is an abundant number, since it is smaller than the sum of its proper divisors (467959426686).

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

242006221530 is a wasteful number, since it uses less digits than its factorization.

242006221530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28031 (or 28005 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 242006221530 its reverse (35122600242), we get a palindrome (277128821772).

The spelling of 242006221530 in words is "two hundred forty-two billion, six million, two hundred twenty-one thousand, five hundred thirty".