2003010000 has 200 divisors, whose sum is σ = 6519538080. Its totient is φ = 529728000.

The previous prime is 2003009959. The next prime is 2003010013. The reversal of 2003010000 is 103002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5369814 + ... + 5370186.

Almost surely, 2^2003010000 is an apocalyptic number.

2003010000 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 2003010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259769040).

2003010000 is an abundant number, since it is smaller than the sum of its proper divisors (4516528080).

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

2003010000 is a wasteful number, since it uses less digits than its factorization.

2003010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2003010000 is about 44754.9997207016. Note that the first 3 decimals coincide. The cubic root of 2003010000 is about 1260.5527934695.

Adding to 2003010000 its reverse (103002), we get a palindrome (2003113002).

The spelling of 2003010000 in words is "two billion, three million, ten thousand".