242219073600 has 2016 divisors, whose sum is σ = 1116802805760. Its totient is φ = 50721914880.

The previous prime is 242219073581. The next prime is 242219073601. The reversal of 242219073600 is 6370912242.

242219073600 is a `hidden beast` number, since 2 + 42 + 2 + 1 + 9 + 0 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242219073601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1907236737 + ... + 1907236863.

Almost surely, 2^242219073600 is an apocalyptic number.

242219073600 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 242219073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558401402880).

242219073600 is an abundant number, since it is smaller than the sum of its proper divisors (874583732160).

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

242219073600 is a wasteful number, since it uses less digits than its factorization.

242219073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 242219073600 its reverse (6370912242), we get a palindrome (248589985842).

The spelling of 242219073600 in words is "two hundred forty-two billion, two hundred nineteen million, seventy-three thousand, six hundred".