2003020320 has 192 divisors, whose sum is σ = 7524679680. Its totient is φ = 437910528.

The previous prime is 2003020319. The next prime is 2003020373. The reversal of 2003020320 is 230203002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2003020296 and 2003020305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64321 + ... + 90239.

It is an arithmetic number, because the mean of its divisors is an integer number (39191040).

Almost surely, 2^2003020320 is an apocalyptic number.

2003020320 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 2003020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762339840).

2003020320 is an abundant number, since it is smaller than the sum of its proper divisors (5521659360).

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

2003020320 is a wasteful number, since it uses less digits than its factorization.

2003020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25967 (or 25959 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2003020320 is about 44755.1150149343. The cubic root of 2003020320 is about 1260.5549583584.

Adding to 2003020320 its reverse (230203002), we get a palindrome (2233223322).

The spelling of 2003020320 in words is "two billion, three million, twenty thousand, three hundred twenty".