2042064264042 has 48 divisors (see below), whose sum is σ = 4827547846368. Its totient is φ = 618698315040.

The previous prime is 2042064264041. The next prime is 2042064264043. The reversal of 2042064264042 is 2404624602402.

2042064264042 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 0 + 6 + 4 + 2 + 640 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2042064264041) and next prime (2042064264043).

It is a junction number, because it is equal to n+sod(n) for n = 2042064263988 and 2042064264006.

It is not an unprimeable number, because it can be changed into a prime (2042064264041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221413 + ... + 2033015.

It is an arithmetic number, because the mean of its divisors is an integer number (100573913466).

Almost surely, 2^{2042064264042} is an apocalyptic number.

2042064264042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2042064264042 is an abundant number, since it is smaller than the sum of its proper divisors (2785483582326).

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

2042064264042 is a wasteful number, since it uses less digits than its factorization.

2042064264042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817315 (or 1817312 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2042064264042 its reverse (2404624602402), we get a palindrome (4446688866444).

The spelling of 2042064264042 in words is "two trillion, forty-two billion, sixty-four million, two hundred sixty-four thousand, forty-two".