242217045792 has 192 divisors, whose sum is σ = 775982592000. Its totient is φ = 73163844864.

The previous prime is 242217045761. The next prime is 242217045839. The reversal of 242217045792 is 297540712242.

242217045792 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 1 + 70 + 4 + 579 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56809 + ... + 698327.

It is an arithmetic number, because the mean of its divisors is an integer number (4041576000).

Almost surely, 2^242217045792 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 242217045792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387991296000).

242217045792 is an abundant number, since it is smaller than the sum of its proper divisors (533765546208).

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

242217045792 is a wasteful number, since it uses less digits than its factorization.

242217045792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641580 (or 641566 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 242217045792 in words is "two hundred forty-two billion, two hundred seventeen million, forty-five thousand, seven hundred ninety-two".