2042004000 has 96 divisors (see below), whose sum is σ = 6689644416. Its totient is φ = 544531200.

The previous prime is 2042003987. The next prime is 2042004047. The reversal of 2042004000 is 4002402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73084 + ... + 97083.

It is an arithmetic number, because the mean of its divisors is an integer number (69683796).

Almost surely, 2^2042004000 is an apocalyptic number.

2042004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042004000 is an abundant number, since it is smaller than the sum of its proper divisors (4647640416).

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

2042004000 is a wasteful number, since it uses less digits than its factorization.

2042004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170195 (or 170177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2042004000 is about 45188.5383698123. The cubic root of 2042004000 is about 1268.6802998264.

Adding to 2042004000 its reverse (4002402), we get a palindrome (2046006402).

The spelling of 2042004000 in words is "two billion, forty-two million, four thousand", and thus it is an eban number.