30480724224 has 144 divisors (see below), whose sum is σ = 93245644800. Its totient is φ = 9809823744.

The previous prime is 30480724213. The next prime is 30480724237. The reversal of 30480724224 is 42242708403.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124417 + ... + 276479.

It is an arithmetic number, because the mean of its divisors is an integer number (647539200).

Almost surely, 2^30480724224 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 30480724224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46622822400).

30480724224 is an abundant number, since it is smaller than the sum of its proper divisors (62764920576).

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

30480724224 is a wasteful number, since it uses less digits than its factorization.

30480724224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152117 (or 152097 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 30480724224 in words is "thirty billion, four hundred eighty million, seven hundred twenty-four thousand, two hundred twenty-four".