30306252240 has 960 divisors, whose sum is σ = 124546885632. Its totient is φ = 6517555200.

The previous prime is 30306252211. The next prime is 30306252259. The reversal of 30306252240 is 4225260303.

30306252240 is a `hidden beast` number, since 3 + 0 + 30 + 625 + 2 + 2 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 221213452 + ... + 221213588.

Almost surely, 2^30306252240 is an apocalyptic number.

30306252240 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 30306252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62273442816).

30306252240 is an abundant number, since it is smaller than the sum of its proper divisors (94240633392).

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

30306252240 is a wasteful number, since it uses less digits than its factorization.

30306252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 30306252240 in words is "thirty billion, three hundred six million, two hundred fifty-two thousand, two hundred forty".