2001340333000 has 64 divisors (see below), whose sum is σ = 4747289105520. Its totient is φ = 789569856000.

The previous prime is 2001340332967. The next prime is 2001340333019. The reversal of 2001340333000 is 3330431002.

It can be written as a sum of positive squares in 8 ways, for example, as 41961883716 + 1959378449284 = 204846^2 + 1399778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13634811 + ... + 13780810.

Almost surely, 2^{2001340333000} is an apocalyptic number.

2001340333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001340333000 is an abundant number, since it is smaller than the sum of its proper divisors (2745948772520).

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

2001340333000 is a wasteful number, since it uses less digits than its factorization.

2001340333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27415715 (or 27415701 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2001340333000 its reverse (3330431002), we get a palindrome (2004670764002).

The spelling of 2001340333000 in words is "two trillion, one billion, three hundred forty million, three hundred thirty-three thousand".