242184079872 has 960 divisors, whose sum is σ = 880823623680. Its totient is φ = 64963067904.

The previous prime is 242184079871. The next prime is 242184079957. The reversal of 242184079872 is 278970481242.

242184079872 is a `hidden beast` number, since 2 + 421 + 84 + 0 + 79 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242184079871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1086027153 + ... + 1086027375.

It is an arithmetic number, because the mean of its divisors is an integer number (917524608).

Almost surely, 2^242184079872 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 242184079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440411811840).

242184079872 is an abundant number, since it is smaller than the sum of its proper divisors (638639543808).

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

242184079872 is an equidigital number, since it uses as much as digits as its factorization.

242184079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 242184079872 in words is "two hundred forty-two billion, one hundred eighty-four million, seventy-nine thousand, eight hundred seventy-two".