2003986320 has 480 divisors, whose sum is σ = 7816642560. Its totient is φ = 422231040.

The previous prime is 2003986307. The next prime is 2003986331. The reversal of 2003986320 is 236893002.

It is a super-2 number, since 2×2003986320² = 8031922341494284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8384761 + ... + 8384999.

It is an arithmetic number, because the mean of its divisors is an integer number (16284672).

Almost surely, 2^2003986320 is an apocalyptic number.

2003986320 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 2003986320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908321280).

2003986320 is an abundant number, since it is smaller than the sum of its proper divisors (5812656240).

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

2003986320 is a wasteful number, since it uses less digits than its factorization.

2003986320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2003986320 is about 44765.9057766064. The cubic root of 2003986320 is about 1260.7575691152.

The spelling of 2003986320 in words is "two billion, three million, nine hundred eighty-six thousand, three hundred twenty".