2032003000 has 64 divisors (see below), whose sum is σ = 4883486400. Its totient is φ = 790819200.

The previous prime is 2032002997. The next prime is 2032003007. The reversal of 2032003000 is 3002302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032003007) 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 15 ways as a sum of consecutive naturals, for example, 9541 + ... + 64459.

It is an arithmetic number, because the mean of its divisors is an integer number (76304475).

Almost surely, 2^2032003000 is an apocalyptic number.

2032003000 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 2032003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441743200).

2032003000 is an abundant number, since it is smaller than the sum of its proper divisors (2851483400).

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

2032003000 is a wasteful number, since it uses less digits than its factorization.

2032003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54977 (or 54963 counting only the distinct ones).

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

The square root of 2032003000 is about 45077.7439541954. The cubic root of 2032003000 is about 1266.6057296016.

Adding to 2032003000 its reverse (3002302), we get a palindrome (2035005302).

The spelling of 2032003000 in words is "two billion, thirty-two million, three thousand".