2003116032 has 168 divisors, whose sum is σ = 5865441660. Its totient is φ = 658636800.

The previous prime is 2003116007. The next prime is 2003116039. The reversal of 2003116032 is 2306113002.

It can be written as a sum of positive squares in 2 ways, for example, as 2001309696 + 1806336 = 44736^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2003115996 and 2003116014.

It is not an unprimeable number, because it can be changed into a prime (2003116039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7446394 + ... + 7446662.

Almost surely, 2^2003116032 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 2003116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932720830).

2003116032 is an abundant number, since it is smaller than the sum of its proper divisors (3862325628).

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

2003116032 is a wasteful number, since it uses less digits than its factorization.

2003116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2003116032 is about 44756.1842877607. The cubic root of 2003116032 is about 1260.5750360902.

Adding to 2003116032 its reverse (2306113002), we get a palindrome (4309229034).

It can be divided in two parts, 20031 and 16032, that added together give a palindrome (36063).

The spelling of 2003116032 in words is "two billion, three million, one hundred sixteen thousand, thirty-two".