2003904000 has 720 divisors, whose sum is σ = 8514338976. Its totient is φ = 451584000.

The previous prime is 2003903983. The next prime is 2003904029. The reversal of 2003904000 is 4093002.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 28223965 + ... + 28224035.

Almost surely, 2^2003904000 is an apocalyptic number.

2003904000 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 2003904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257169488).

2003904000 is an abundant number, since it is smaller than the sum of its proper divisors (6510434976).

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

2003904000 is an equidigital number, since it uses as much as digits as its factorization.

2003904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2003904000 is about 44764.9863174334. The cubic root of 2003904000 is about 1260.7403056932.

Adding to 2003904000 its reverse (4093002), we get a palindrome (2007997002).

The spelling of 2003904000 in words is "two billion, three million, nine hundred four thousand".