242221395240 has 192 divisors, whose sum is σ = 859174205760. Its totient is φ = 58693724160.

The previous prime is 242221395233. The next prime is 242221395257. The reversal of 242221395240 is 42593122242.

242221395240 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 21 + 395 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 242221395195 and 242221395204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9558667 + ... + 9583973.

It is an arithmetic number, because the mean of its divisors is an integer number (4474865655).

Almost surely, 2^242221395240 is an apocalyptic number.

242221395240 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 242221395240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429587102880).

242221395240 is an abundant number, since it is smaller than the sum of its proper divisors (616952810520).

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

242221395240 is a wasteful number, since it uses less digits than its factorization.

242221395240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27752 (or 27745 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 242221395240 in words is "two hundred forty-two billion, two hundred twenty-one million, three hundred ninety-five thousand, two hundred forty".