30212340840 has 576 divisors, whose sum is σ = 117445049280. Its totient is φ = 6656716800.

The previous prime is 30212340757. The next prime is 30212340841. The reversal of 30212340840 is 4804321203.

30212340840 is a `hidden beast` number, since 3 + 0 + 212 + 3 + 408 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (30212340841) 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 143 ways as a sum of consecutive naturals, for example, 64694287 + ... + 64694753.

It is an arithmetic number, because the mean of its divisors is an integer number (203897655).

Almost surely, 2^30212340840 is an apocalyptic number.

30212340840 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 30212340840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58722524640).

30212340840 is an abundant number, since it is smaller than the sum of its proper divisors (87232708440).

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

30212340840 is a wasteful number, since it uses less digits than its factorization.

30212340840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 30212340840 in words is "thirty billion, two hundred twelve million, three hundred forty thousand, eight hundred forty".