2004033880 has 64 divisors (see below), whose sum is σ = 4620693600. Its totient is φ = 781946880.

The previous prime is 2004033821. The next prime is 2004033883. The reversal of 2004033880 is 883304002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004033883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376840 + ... + 382120.

Almost surely, 2^2004033880 is an apocalyptic number.

2004033880 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 2004033880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310346800).

2004033880 is an abundant number, since it is smaller than the sum of its proper divisors (2616659720).

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

2004033880 is a wasteful number, since it uses less digits than its factorization.

2004033880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2004033880 is about 44766.4369812921. The cubic root of 2004033880 is about 1260.7675427620.

Adding to 2004033880 its reverse (883304002), we get a palindrome (2887337882).

The spelling of 2004033880 in words is "two billion, four million, thirty-three thousand, eight hundred eighty".