30324224000 has 208 divisors, whose sum is σ = 86501678016. Its totient is φ = 10395648000.

The previous prime is 30324223999. The next prime is 30324224009. The reversal of 30324224000 is 42242303.

It is a super-2 number, since 2×30324224000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30324224009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579770 + ... + 3588230.

It is an arithmetic number, because the mean of its divisors is an integer number (415873452).

Almost surely, 2^30324224000 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 30324224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43250839008).

30324224000 is an abundant number, since it is smaller than the sum of its proper divisors (56177454016).

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

30324224000 is an frugal number, since it uses more digits than its factorization.

30324224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 30324224000 its reverse (42242303), we get a palindrome (30366466303).

The spelling of 30324224000 in words is "thirty billion, three hundred twenty-four million, two hundred twenty-four thousand".