242233128180 has 192 divisors, whose sum is σ = 798263424000. Its totient is φ = 60771465216.

The previous prime is 242233128169. The next prime is 242233128199. The reversal of 242233128180 is 81821332242.

242233128180 is a `hidden beast` number, since 2 + 42 + 2 + 331 + 281 + 8 + 0 = 666.

It is a super-2 number, since 2×242233128180² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37441986 + ... + 37448454.

It is an arithmetic number, because the mean of its divisors is an integer number (4157622000).

Almost surely, 2^242233128180 is an apocalyptic number.

242233128180 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 242233128180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399131712000).

242233128180 is an abundant number, since it is smaller than the sum of its proper divisors (556030295820).

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

242233128180 is a wasteful number, since it uses less digits than its factorization.

242233128180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10583 (or 10575 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 242233128180 in words is "two hundred forty-two billion, two hundred thirty-three million, one hundred twenty-eight thousand, one hundred eighty".