30240782856 has 96 divisors (see below), whose sum is σ = 83982793440. Its totient is φ = 9827288064.

The previous prime is 30240782851. The next prime is 30240782921. The reversal of 30240782856 is 65828704203.

It is not an unprimeable number, because it can be changed into a prime (30240782851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435615 + ... + 500241.

It is an arithmetic number, because the mean of its divisors is an integer number (874820765).

Almost surely, 2^30240782856 is an apocalyptic number.

30240782856 is a gapful number since it is divisible by the number (36) 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 30240782856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41991396720).

30240782856 is an abundant number, since it is smaller than the sum of its proper divisors (53742010584).

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

30240782856 is a wasteful number, since it uses less digits than its factorization.

30240782856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64803 (or 64796 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 30240782856 in words is "thirty billion, two hundred forty million, seven hundred eighty-two thousand, eight hundred fifty-six".