30240000000 has 768 divisors, whose sum is σ = 127968422400. Its totient is φ = 6912000000.

The previous prime is 30239999987. The next prime is 30240000029. The reversal of 30240000000 is 4203.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 4319999997 + ... + 4320000003.

It is an arithmetic number, because the mean of its divisors is an integer number (166625550).

Almost surely, 2^30240000000 is an apocalyptic number.

30240000000 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 30240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63984211200).

30240000000 is an abundant number, since it is smaller than the sum of its proper divisors (97728422400).

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

30240000000 is an frugal number, since it uses more digits than its factorization.

30240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 30240000000 its reverse (4203), we get a palindrome (30240004203).

The spelling of 30240000000 in words is "thirty billion, two hundred forty million", and thus it is an aban number.