2042004100 has 144 divisors (see below), whose sum is σ = 4950238720. Its totient is φ = 727833600.

The previous prime is 2042004071. The next prime is 2042004109. The reversal of 2042004100 is 14002402.

It is not an unprimeable number, because it can be changed into a prime (2042004109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178832 + ... + 2179768.

Almost surely, 2^2042004100 is an apocalyptic number.

2042004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475119360).

2042004100 is an abundant number, since it is smaller than the sum of its proper divisors (2908234620).

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

2042004100 is a wasteful number, since it uses less digits than its factorization.

2042004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2042004100 is about 45188.5394762876. The cubic root of 2042004100 is about 1268.6803205361.

Adding to 2042004100 its reverse (14002402), we get a palindrome (2056006502).

The spelling of 2042004100 in words is "two billion, forty-two million, four thousand, one hundred".