30006249504 has 384 divisors, whose sum is σ = 101338159104. Its totient is φ = 7547904000.

The previous prime is 30006249451. The next prime is 30006249577. The reversal of 30006249504 is 40594260003.

It is a super-3 number, since 3×30006249504³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 54855759 + ... + 54856305.

It is an arithmetic number, because the mean of its divisors is an integer number (263901456).

Almost surely, 2^30006249504 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 30006249504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50669079552).

30006249504 is an abundant number, since it is smaller than the sum of its proper divisors (71331909600).

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

30006249504 is a wasteful number, since it uses less digits than its factorization.

30006249504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 30006249504 in words is "thirty billion, six million, two hundred forty-nine thousand, five hundred four".