2004288000 has 640 divisors, whose sum is σ = 7935992064. Its totient is φ = 442368000.

The previous prime is 2004287963. The next prime is 2004288059. The reversal of 2004288000 is 8824002.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 27455964 + ... + 27456036.

Almost surely, 2^2004288000 is an apocalyptic number.

2004288000 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 2004288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967996032).

2004288000 is an abundant number, since it is smaller than the sum of its proper divisors (5931704064).

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

2004288000 is a wasteful number, since it uses less digits than its factorization.

2004288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2004288000 is about 44769.2751784078. The cubic root of 2004288000 is about 1260.8208307345.

The spelling of 2004288000 in words is "two billion, four million, two hundred eighty-eight thousand".