30000006000 has 240 divisors, whose sum is σ = 107012400768. Its totient is φ = 7829568000.

The previous prime is 30000005993. The next prime is 30000006011. The reversal of 30000006000 is 60000003.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828270 + ... + 863730.

Almost surely, 2^30000006000 is an apocalyptic number.

30000006000 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 30000006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53506200384).

30000006000 is an abundant number, since it is smaller than the sum of its proper divisors (77012394768).

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

30000006000 is a wasteful number, since it uses less digits than its factorization.

30000006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35537 (or 35518 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30000006000 its reverse (60000003), we get a palindrome (30060006003).

The spelling of 30000006000 in words is "thirty billion, six thousand", and thus it is an eban number.