30219493920 has 768 divisors, whose sum is σ = 130427781120. Its totient is φ = 5687193600.

The previous prime is 30219493903. The next prime is 30219493933. The reversal of 30219493920 is 2939491203.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16150585 + ... + 16152455.

It is an arithmetic number, because the mean of its divisors is an integer number (169827840).

Almost surely, 2^30219493920 is an apocalyptic number.

30219493920 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 30219493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65213890560).

30219493920 is an abundant number, since it is smaller than the sum of its proper divisors (100208287200).

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

30219493920 is a wasteful number, since it uses less digits than its factorization.

30219493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 30219493920 in words is "thirty billion, two hundred nineteen million, four hundred ninety-three thousand, nine hundred twenty".