2042104657617 has 12 divisors (see below), whose sum is σ = 2982849501060. Its totient is φ = 1346106440448.

The previous prime is 2042104657603. The next prime is 2042104657651. The reversal of 2042104657617 is 7167564012402.

2042104657617 is a `hidden beast` number, since 2 + 0 + 4 + 21 + 0 + 4 + 6 + 5 + 7 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 754875994896 + 1287228662721 = 868836^2 + 1134561^2 .

It is not a de Polignac number, because 2042104657617 - 2¹⁴ = 2042104641233 is a prime.

It is a super-2 number, since 2×2042104657617² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042104658617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1274721208 + ... + 1274722809.

It is an arithmetic number, because the mean of its divisors is an integer number (248570791755).

Almost surely, 2^{2042104657617} is an apocalyptic number.

It is an amenable number.

2042104657617 is a deficient number, since it is larger than the sum of its proper divisors (940744843443).

2042104657617 is a wasteful number, since it uses less digits than its factorization.

2042104657617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549444112 (or 2549444109 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2042104657617 in words is "two trillion, forty-two billion, one hundred four million, six hundred fifty-seven thousand, six hundred seventeen".