242112084984 has 384 divisors, whose sum is σ = 866704250880. Its totient is φ = 59112345600.

The previous prime is 242112084961. The next prime is 242112084989. The reversal of 242112084984 is 489480211242.

242112084984 is a `hidden beast` number, since 2 + 42 + 112 + 0 + 8 + 498 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242112084989) 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, 129401569 + ... + 129403439.

It is an arithmetic number, because the mean of its divisors is an integer number (2257042320).

Almost surely, 2^242112084984 is an apocalyptic number.

242112084984 is a gapful number since it is divisible by the number (24) 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 242112084984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433352125440).

242112084984 is an abundant number, since it is smaller than the sum of its proper divisors (624592165896).

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

242112084984 is a wasteful number, since it uses less digits than its factorization.

242112084984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 242112084984 in words is "two hundred forty-two billion, one hundred twelve million, eighty-four thousand, nine hundred eighty-four".