30753217242 has 64 divisors (see below), whose sum is σ = 74573982720. Its totient is φ = 9316566000.

The previous prime is 30753217241. The next prime is 30753217247. The reversal of 30753217242 is 24271235703.

30753217242 is a `hidden beast` number, since 307 + 5 + 321 + 7 + 24 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30753217197 and 30753217206.

It is not an unprimeable number, because it can be changed into a prime (30753217241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4179867 + ... + 4187217.

It is an arithmetic number, because the mean of its divisors is an integer number (1165218480).

Almost surely, 2^30753217242 is an apocalyptic number.

30753217242 is an abundant number, since it is smaller than the sum of its proper divisors (43820765478).

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

30753217242 is a wasteful number, since it uses less digits than its factorization.

30753217242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 30753217242 in words is "thirty billion, seven hundred fifty-three million, two hundred seventeen thousand, two hundred forty-two".