30016930944 has 384 divisors, whose sum is σ = 107659514880. Its totient is φ = 7195668480.

The previous prime is 30016930927. The next prime is 30016930963. The reversal of 30016930944 is 44903961003.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30016930944² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 4993989 + ... + 4999995.

It is an arithmetic number, because the mean of its divisors is an integer number (280363320).

Almost surely, 2^30016930944 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 30016930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53829757440).

30016930944 is an abundant number, since it is smaller than the sum of its proper divisors (77642583936).

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

30016930944 is a wasteful number, since it uses less digits than its factorization.

30016930944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 30016930944 in words is "thirty billion, sixteen million, nine hundred thirty thousand, nine hundred forty-four".