242208000000 has 756 divisors, whose sum is σ = 905607255735. Its totient is φ = 62361600000.

The previous prime is 242207999933. The next prime is 242208000019. The reversal of 242208000000 is 802242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 208198738944 + 34009261056 = 456288^2 + 184416^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=348000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 8351999986 + ... + 8352000014.

Almost surely, 2^242208000000 is an apocalyptic number.

242208000000 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 242208000000

242208000000 is an abundant number, since it is smaller than the sum of its proper divisors (663399255735).

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

242208000000 is an frugal number, since it uses more digits than its factorization.

242208000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Multiplying 242208000000 by its sum of digits (18), we get a square (4359744000000 = 2088000²).

242208000000 divided by its sum of digits (18) gives a square (13456000000 = 116000²).

Adding to 242208000000 its reverse (802242), we get a palindrome (242208802242).

The spelling of 242208000000 in words is "two hundred forty-two billion, two hundred eight million", and thus it is an aban number.