242208662040 has 192 divisors, whose sum is σ = 806289120000. Its totient is φ = 63036686592.

The previous prime is 242208662011. The next prime is 242208662051. The reversal of 242208662040 is 40266802242.

242208662040 is a `hidden beast` number, since 2 + 4 + 2 + 20 + 8 + 6 + 620 + 4 + 0 = 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 = 242208661986 and 242208662004.

It is a congruent number.

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, 2911341 + ... + 2993379.

It is an arithmetic number, because the mean of its divisors is an integer number (4199422500).

Almost surely, 2^242208662040 is an apocalyptic number.

242208662040 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 242208662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403144560000).

242208662040 is an abundant number, since it is smaller than the sum of its proper divisors (564080457960).

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

242208662040 is a wasteful number, since it uses less digits than its factorization.

242208662040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82254 (or 82247 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 242208662040 in words is "two hundred forty-two billion, two hundred eight million, six hundred sixty-two thousand, forty".