242132164580 has 48 divisors (see below), whose sum is σ = 510896547840. Its totient is φ = 96392343168.

The previous prime is 242132164541. The next prime is 242132164583. The reversal of 242132164580 is 85461231242.

242132164580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242132164583) 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 15 ways as a sum of consecutive naturals, for example, 31202741 + ... + 31210499.

It is an arithmetic number, because the mean of its divisors is an integer number (10643678080).

Almost surely, 2^242132164580 is an apocalyptic number.

242132164580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242132164580 is an abundant number, since it is smaller than the sum of its proper divisors (268764383260).

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

242132164580 is a wasteful number, since it uses less digits than its factorization.

242132164580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14988 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 242132164580 in words is "two hundred forty-two billion, one hundred thirty-two million, one hundred sixty-four thousand, five hundred eighty".