30345892080 has 240 divisors, whose sum is σ = 109989388800. Its totient is φ = 6900816384.

The previous prime is 30345892051. The next prime is 30345892097. The reversal of 30345892080 is 8029854303.

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

It is a super-2 number, since 2×30345892080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2333757 + ... + 2346723.

It is an arithmetic number, because the mean of its divisors is an integer number (458289120).

Almost surely, 2^30345892080 is an apocalyptic number.

30345892080 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 30345892080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54994694400).

30345892080 is an abundant number, since it is smaller than the sum of its proper divisors (79643496720).

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

30345892080 is a wasteful number, since it uses less digits than its factorization.

30345892080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13196 (or 13183 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 30345892080 in words is "thirty billion, three hundred forty-five million, eight hundred ninety-two thousand, eighty".