242180534610 has 384 divisors, whose sum is σ = 786208204800. Its totient is φ = 52829521920.

The previous prime is 242180534599. The next prime is 242180534611. The reversal of 242180534610 is 16435081242.

It is a happy number.

242180534610 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 8 + 0 + 5 + 34 + 610 = 666.

242180534610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242180534610² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242180534611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29935446 + ... + 29943534.

It is an arithmetic number, because the mean of its divisors is an integer number (2047417200).

Almost surely, 2^242180534610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242180534610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393104102400).

242180534610 is an abundant number, since it is smaller than the sum of its proper divisors (544027670190).

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

242180534610 is a wasteful number, since it uses less digits than its factorization.

242180534610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 242180534610 in words is "two hundred forty-two billion, one hundred eighty million, five hundred thirty-four thousand, six hundred ten".