3056432005242 has 384 divisors, whose sum is σ = 8801313251328. Its totient is φ = 743126630400.

The previous prime is 3056432005199. The next prime is 3056432005243. The reversal of 3056432005242 is 2425002346503.

3056432005242 is a `hidden beast` number, since 3 + 0 + 5 + 643 + 2 + 0 + 0 + 5 + 2 + 4 + 2 = 666.

It is a super-3 number, since 3×3056432005242³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3056432005197 and 3056432005206.

It is not an unprimeable number, because it can be changed into a prime (3056432005243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 310072378 + ... + 310082234.

It is an arithmetic number, because the mean of its divisors is an integer number (22920086592).

Almost surely, 2^{3056432005242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3056432005242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400656625664).

3056432005242 is an abundant number, since it is smaller than the sum of its proper divisors (5744881246086).

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

3056432005242 is a wasteful number, since it uses less digits than its factorization.

3056432005242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 3056432005242 in words is "three trillion, fifty-six billion, four hundred thirty-two million, five thousand, two hundred forty-two".