2042042020 has 24 divisors (see below), whose sum is σ = 4317075000. Its totient is φ = 811333632.

The previous prime is 2042041993. The next prime is 2042042021. The reversal of 2042042020 is 202402402.

It can be written as a sum of positive squares in 4 ways, for example, as 330730596 + 1711311424 = 18186^2 + 41368^2 .

It is a super-2 number, since 2×2042042020² = 8339871222891360800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042041985 and 2042042003.

It is not an unprimeable number, because it can be changed into a prime (2042042021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339645 + ... + 345604.

It is an arithmetic number, because the mean of its divisors is an integer number (179878125).

Almost surely, 2^2042042020 is an apocalyptic number.

2042042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042042020 is an abundant number, since it is smaller than the sum of its proper divisors (2275032980).

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

2042042020 is a wasteful number, since it uses less digits than its factorization.

2042042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685407 (or 685405 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2042042020 is about 45188.9590497502. The cubic root of 2042042020 is about 1268.6881736153.

Adding to 2042042020 its reverse (202402402), we get a palindrome (2244444422).

The spelling of 2042042020 in words is "two billion, forty-two million, forty-two thousand, twenty".