2004791840 has 144 divisors (see below), whose sum is σ = 5089596120. Its totient is φ = 745943040.

The previous prime is 2004791807. The next prime is 2004791879. The reversal of 2004791840 is 481974002.

It can be written as a sum of positive squares in 4 ways, for example, as 679540624 + 1325251216 = 26068^2 + 36404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2004791840.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3523076 + ... + 3523644.

Almost surely, 2^2004791840 is an apocalyptic number.

2004791840 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 2004791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544798060).

2004791840 is an abundant number, since it is smaller than the sum of its proper divisors (3084804280).

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

2004791840 is a wasteful number, since it uses less digits than its factorization.

2004791840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2004791840 is about 44774.9018982733. The cubic root of 2004791840 is about 1260.9264706999.

The spelling of 2004791840 in words is "two billion, four million, seven hundred ninety-one thousand, eight hundred forty".