30240686080 has 240 divisors, whose sum is σ = 81402664896. Its totient is φ = 10687610880.

The previous prime is 30240686053. The next prime is 30240686087. The reversal of 30240686080 is 8068604203.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (30240686087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33340987 + ... + 33341893.

Almost surely, 2^30240686080 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 30240686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40701332448).

30240686080 is an abundant number, since it is smaller than the sum of its proper divisors (51161978816).

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

30240686080 is an equidigital number, since it uses as much as digits as its factorization.

30240686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 30240686080 in words is "thirty billion, two hundred forty million, six hundred eighty-six thousand, eighty".