2301301002000 has 1280 divisors, whose sum is σ = 10057612271616. Its totient is φ = 437160960000.

The previous prime is 2301301001959. The next prime is 2301301002001. The reversal of 2301301002000 is 2001031032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2301301002001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 642640210 + ... + 642643790.

Almost surely, 2^{2301301002000} is an apocalyptic number.

2301301002000 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 2301301002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028806135808).

2301301002000 is an abundant number, since it is smaller than the sum of its proper divisors (7756311269616).

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

2301301002000 is a wasteful number, since it uses less digits than its factorization.

2301301002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2301301002000 its reverse (2001031032), we get a palindrome (2303302033032).

The spelling of 2301301002000 in words is "two trillion, three hundred one billion, three hundred one million, two thousand".