2003317516242 has 64 divisors (see below), whose sum is σ = 5104150272000. Its totient is φ = 570535961040.

The previous prime is 2003317516159. The next prime is 2003317516243. The reversal of 2003317516242 is 2426157133002.

2003317516242 is a `hidden beast` number, since 2 + 0 + 0 + 331 + 75 + 16 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2003317516197 and 2003317516206.

It is not an unprimeable number, because it can be changed into a prime (2003317516243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8402992 + ... + 8638107.

It is an arithmetic number, because the mean of its divisors is an integer number (79752348000).

Almost surely, 2^{2003317516242} is an apocalyptic number.

2003317516242 is an abundant number, since it is smaller than the sum of its proper divisors (3100832755758).

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

2003317516242 is a wasteful number, since it uses less digits than its factorization.

2003317516242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17041428 (or 17041422 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2003317516242 in words is "two trillion, three billion, three hundred seventeen million, five hundred sixteen thousand, two hundred forty-two".