2003623872 has 224 divisors, whose sum is σ = 5841918720. Its totient is φ = 603832320.

The previous prime is 2003623871. The next prime is 2003623883. The reversal of 2003623872 is 2783263002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003623871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8313672 + ... + 8313912.

Almost surely, 2^2003623872 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 2003623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920959360).

2003623872 is an abundant number, since it is smaller than the sum of its proper divisors (3838294848).

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

2003623872 is a wasteful number, since it uses less digits than its factorization.

2003623872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2003623872 is about 44761.8573341187. The cubic root of 2003623872 is about 1260.6815561859.

Adding to 2003623872 its reverse (2783263002), we get a palindrome (4786886874).

The spelling of 2003623872 in words is "two billion, three million, six hundred twenty-three thousand, eight hundred seventy-two".