30144280320 has 864 divisors, whose sum is σ = 137749248000. Its totient is φ = 5892341760.

The previous prime is 30144280319. The next prime is 30144280357. The reversal of 30144280320 is 2308244103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15078681 + ... + 15080679.

It is an arithmetic number, because the mean of its divisors is an integer number (159432000).

Almost surely, 2^30144280320 is an apocalyptic number.

30144280320 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 30144280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874624000).

30144280320 is an abundant number, since it is smaller than the sum of its proper divisors (107604967680).

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

30144280320 is a wasteful number, since it uses less digits than its factorization.

30144280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 30144280320 in words is "thirty billion, one hundred forty-four million, two hundred eighty thousand, three hundred twenty".