30248642000 has 60 divisors (see below), whose sum is σ = 73160028396. Its totient is φ = 12096345600.

The previous prime is 30248641967. The next prime is 30248642051. The reversal of 30248642000 is 24684203.

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 6 ways, for example, as 4003345984 + 26245296016 = 63272^2 + 162004^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7776056 + ... + 7779944.

Almost surely, 2^30248642000 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 30248642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36580014198).

30248642000 is an abundant number, since it is smaller than the sum of its proper divisors (42911386396).

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

30248642000 is an frugal number, since it uses more digits than its factorization.

30248642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 30248642000 in words is "thirty billion, two hundred forty-eight million, six hundred forty-two thousand".