2001314304000 has 2080 divisors, whose sum is σ = 8415912016512. Its totient is φ = 468910080000.

The previous prime is 2001314303999. The next prime is 2001314304023. The reversal of 2001314304000 is 4034131002.

2001314304000 is a `hidden beast` number, since 200 + 1 + 31 + 4 + 30 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18703871947 + ... + 18703872053.

Almost surely, 2^{2001314304000} is an apocalyptic number.

2001314304000 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 2001314304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207956008256).

2001314304000 is an abundant number, since it is smaller than the sum of its proper divisors (6414597712512).

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

2001314304000 is a wasteful number, since it uses less digits than its factorization.

2001314304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2001314304000 its reverse (4034131002), we get a palindrome (2005348435002).

The spelling of 2001314304000 in words is "two trillion, one billion, three hundred fourteen million, three hundred four thousand".