240222984192 has 288 divisors, whose sum is σ = 736656560640. Its totient is φ = 75155374080.

The previous prime is 240222984187. The next prime is 240222984193. The reversal of 240222984192 is 291489222042.

240222984192 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 229 + 8 + 419 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240222984193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144450753 + ... + 144452415.

It is an arithmetic number, because the mean of its divisors is an integer number (2557835280).

Almost surely, 2^240222984192 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 240222984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368328280320).

240222984192 is an abundant number, since it is smaller than the sum of its proper divisors (496433576448).

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

240222984192 is a wasteful number, since it uses less digits than its factorization.

240222984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 240222984192 in words is "two hundred forty billion, two hundred twenty-two million, nine hundred eighty-four thousand, one hundred ninety-two".