30018334080 has 768 divisors, whose sum is σ = 120876364800. Its totient is φ = 6194479104.

The previous prime is 30018334063. The next prime is 30018334081. The reversal of 30018334080 is 8043381003.

It is a super-2 number, since 2×30018334080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30018334081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111592186 + ... + 111592454.

It is an arithmetic number, because the mean of its divisors is an integer number (157391100).

Almost surely, 2^30018334080 is an apocalyptic number.

30018334080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30018334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60438182400).

30018334080 is an abundant number, since it is smaller than the sum of its proper divisors (90858030720).

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

30018334080 is a wasteful number, since it uses less digits than its factorization.

30018334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 30018334080 in words is "thirty billion, eighteen million, three hundred thirty-four thousand, eighty".