242274820608 has 150 divisors (see below), whose sum is σ = 723425853381. Its totient is φ = 80724860928.

The previous prime is 242274820603. The next prime is 242274820649. The reversal of 242274820608 is 806028472242.

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.

242274820608 is a `hidden beast` number, since 242 + 274 + 82 + 0 + 60 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159910412544 + 82364408064 = 399888^2 + 286992^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=348048.

It is not an unprimeable number, because it can be changed into a prime (242274820603) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 100236616 + ... + 100239032.

Almost surely, 2^242274820608 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 242274820608

242274820608 is an abundant number, since it is smaller than the sum of its proper divisors (481151032773).

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

242274820608 is an frugal number, since it uses more digits than its factorization.

242274820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 242274820608 in words is "two hundred forty-two billion, two hundred seventy-four million, eight hundred twenty thousand, six hundred eight".