30106834080 has 384 divisors, whose sum is σ = 102609980928. Its totient is φ = 7393247232.

The previous prime is 30106834031. The next prime is 30106834157. The reversal of 30106834080 is 8043860103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94974082 + ... + 94974398.

It is an arithmetic number, because the mean of its divisors is an integer number (267213492).

Almost surely, 2^30106834080 is an apocalyptic number.

30106834080 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 30106834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51304990464).

30106834080 is an abundant number, since it is smaller than the sum of its proper divisors (72503146848).

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

30106834080 is a wasteful number, since it uses less digits than its factorization.

30106834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 30106834080 in words is "thirty billion, one hundred six million, eight hundred thirty-four thousand, eighty".