2003988672 has 504 divisors, whose sum is σ = 7295174640. Its totient is φ = 522547200.

The previous prime is 2003988661. The next prime is 2003988737. The reversal of 2003988672 is 2768893002.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19841422 + ... + 19841522.

Almost surely, 2^2003988672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647587320).

2003988672 is an abundant number, since it is smaller than the sum of its proper divisors (5291185968).

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

2003988672 is a wasteful number, since it uses less digits than its factorization.

2003988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2003988672 is about 44765.9320465910. The cubic root of 2003988672 is about 1260.7580623489.

The spelling of 2003988672 in words is "two billion, three million, nine hundred eighty-eight thousand, six hundred seventy-two".