2001002300 has 144 divisors (see below), whose sum is σ = 4987180800. Its totient is φ = 689779200.

The previous prime is 2001002293. The next prime is 2001002317. The reversal of 2001002300 is 32001002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3516416 + ... + 3516984.

It is an arithmetic number, because the mean of its divisors is an integer number (34633200).

Almost surely, 2^2001002300 is an apocalyptic number.

2001002300 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 2001002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493590400).

2001002300 is an abundant number, since it is smaller than the sum of its proper divisors (2986178500).

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

2001002300 is a wasteful number, since it uses less digits than its factorization.

2001002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2001002300 is about 44732.5642010382. The cubic root of 2001002300 is about 1260.1314845571.

Adding to 2001002300 its reverse (32001002), we get a palindrome (2033003302).

The spelling of 2001002300 in words is "two billion, one million, two thousand, three hundred".