2001685017042 has 48 divisors (see below), whose sum is σ = 4347936403200. Its totient is φ = 665544024000.

The previous prime is 2001685017037. The next prime is 2001685017053. The reversal of 2001685017042 is 2407105861002.

2001685017042 is a `hidden beast` number, since 20 + 0 + 1 + 68 + 501 + 70 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2001685016988 and 2001685017006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42249667 + ... + 42297017.

It is an arithmetic number, because the mean of its divisors is an integer number (90582008400).

Almost surely, 2^{2001685017042} is an apocalyptic number.

2001685017042 is an abundant number, since it is smaller than the sum of its proper divisors (2346251386158).

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

2001685017042 is a wasteful number, since it uses less digits than its factorization.

2001685017042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53239 (or 53236 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2001685017042 in words is "two trillion, one billion, six hundred eighty-five million, seventeen thousand, forty-two".