242025305616 has 140 divisors (see below), whose sum is σ = 714982802160. Its totient is φ = 79307501760.

The previous prime is 242025305603. The next prime is 242025305617. The reversal of 242025305616 is 616503520242.

242025305616 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 2 + 5 + 30 + 5 + 616 = 666.

It is a super-2 number, since 2×242025305616² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242025305617) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 512331 + ... + 864021.

Almost surely, 2^242025305616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242025305616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357491401080).

242025305616 is an abundant number, since it is smaller than the sum of its proper divisors (472957496544).

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

242025305616 is an equidigital number, since it uses as much as digits as its factorization.

242025305616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351776 (or 351755 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 242025305616 its reverse (616503520242), we get a palindrome (858528825858).

The spelling of 242025305616 in words is "two hundred forty-two billion, twenty-five million, three hundred five thousand, six hundred sixteen".