2301000002000 has 160 divisors (see below), whose sum is σ = 6371724802560. Its totient is φ = 787292006400.

The previous prime is 2301000001961. The next prime is 2301000002009. The reversal of 2301000002000 is 2000001032.

2301000002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301000002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649256 + ... + 6986744.

It is an arithmetic number, because the mean of its divisors is an integer number (39823280016).

Almost surely, 2^{2301000002000} is an apocalyptic number.

2301000002000 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 2301000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185862401280).

2301000002000 is an abundant number, since it is smaller than the sum of its proper divisors (4070724800560).

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

2301000002000 is a wasteful number, since it uses less digits than its factorization.

2301000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338006 (or 337990 counting only the distinct ones).

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

Adding to 2301000002000 its reverse (2000001032), we get a palindrome (2303000003032).

The spelling of 2301000002000 in words is "two trillion, three hundred one billion, two thousand".