242105400030 has 256 divisors, whose sum is σ = 671159623680. Its totient is φ = 55451547648.

The previous prime is 242105400029. The next prime is 242105400041. The reversal of 242105400030 is 30004501242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44773587 + ... + 44778993.

It is an arithmetic number, because the mean of its divisors is an integer number (2621717280).

Almost surely, 2^242105400030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242105400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335579811840).

242105400030 is an abundant number, since it is smaller than the sum of its proper divisors (429054223650).

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

242105400030 is a wasteful number, since it uses less digits than its factorization.

242105400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603.

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 242105400030 its reverse (30004501242), we get a palindrome (272109901272).

The spelling of 242105400030 in words is "two hundred forty-two billion, one hundred five million, four hundred thousand, thirty".