30242460006 has 144 divisors (see below), whose sum is σ = 74599185024. Its totient is φ = 8838720000.

The previous prime is 30242459981. The next prime is 30242460019. The reversal of 30242460006 is 60006424203.

30242460006 is a `hidden beast` number, since 30 + 2 + 4 + 24 + 600 + 0 + 6 = 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 71 ways as a sum of consecutive naturals, for example, 27074160 + ... + 27075276.

It is an arithmetic number, because the mean of its divisors is an integer number (518049896).

Almost surely, 2^30242460006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30242460006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37299592512).

30242460006 is an abundant number, since it is smaller than the sum of its proper divisors (44356725018).

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

30242460006 is a wasteful number, since it uses less digits than its factorization.

30242460006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30242460006 its reverse (60006424203), we get a palindrome (90248884209).

The spelling of 30242460006 in words is "thirty billion, two hundred forty-two million, four hundred sixty thousand, six".