2003000032 has 96 divisors (see below), whose sum is σ = 4460539104. Its totient is φ = 877363200.

The previous prime is 2003000029. The next prime is 2003000033. The reversal of 2003000032 is 2300003002.

It is a junction number, because it is equal to n+sod(n) for n = 2002999982 and 2003000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003000033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1471032 + ... + 1472392.

It is an arithmetic number, because the mean of its divisors is an integer number (46463949).

Almost surely, 2^2003000032 is an apocalyptic number.

2003000032 is a gapful number since it is divisible by the number (22) 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 2003000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230269552).

2003000032 is an abundant number, since it is smaller than the sum of its proper divisors (2457539072).

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

2003000032 is a wasteful number, since it uses less digits than its factorization.

2003000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2003000032 is about 44754.8883587033. Note that the first 3 decimals coincide. The cubic root of 2003000032 is about 1260.5507024146.

Adding to 2003000032 its reverse (2300003002), we get a palindrome (4303003034).

The spelling of 2003000032 in words is "two billion, three million, thirty-two", and thus it is an aban number and an uban number.