2042819904 has 56 divisors (see below), whose sum is σ = 5470123680. Its totient is φ = 672730624.

The previous prime is 2042819899. The next prime is 2042819929. The reversal of 2042819904 is 4099182402.

It is a super-2 number, since 2×2042819904² = 8346226320357138432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48159 + ... + 80030.

It is an arithmetic number, because the mean of its divisors is an integer number (97680780).

Almost surely, 2^2042819904 is an apocalyptic number.

2042819904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042819904 is an abundant number, since it is smaller than the sum of its proper divisors (3427303776).

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

2042819904 is a wasteful number, since it uses less digits than its factorization.

2042819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128287 (or 128277 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2042819904 is about 45197.5652441589. The cubic root of 2042819904 is about 1268.8492488094.

It can be divided in two parts, 204281 and 9904, that added together give a triangular number (214185 = T₆₅₄).

The spelling of 2042819904 in words is "two billion, forty-two million, eight hundred nineteen thousand, nine hundred four".