30488500224 has 768 divisors, whose sum is σ = 114036249600. Its totient is φ = 7835222016.

The previous prime is 30488500201. The next prime is 30488500253. The reversal of 30488500224 is 42200588403.

30488500224 is a `hidden beast` number, since 304 + 88 + 50 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367331287 + ... + 367331369.

It is an arithmetic number, because the mean of its divisors is an integer number (148484700).

Almost surely, 2^30488500224 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 30488500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57018124800).

30488500224 is an abundant number, since it is smaller than the sum of its proper divisors (83547749376).

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

30488500224 is a wasteful number, since it uses less digits than its factorization.

30488500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 30488500224 in words is "thirty billion, four hundred eighty-eight million, five hundred thousand, two hundred twenty-four".