2001334024001 has 16 divisors (see below), whose sum is σ = 2229794442960. Its totient is φ = 1783529072640.

The previous prime is 2001334023971. The next prime is 2001334024021. The reversal of 2001334024001 is 1004204331002.

It can be written as a sum of positive squares in 8 ways, for example, as 26634566401 + 1974699457600 = 163201^2 + 1405240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001334024001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001334024021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4284221 + ... + 4728341.

It is an arithmetic number, because the mean of its divisors is an integer number (139362152685).

Almost surely, 2^{2001334024001} is an apocalyptic number.

It is an amenable number.

2001334024001 is a deficient number, since it is larger than the sum of its proper divisors (228460418959).

2001334024001 is a wasteful number, since it uses less digits than its factorization.

2001334024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456116.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2001334024001 its reverse (1004204331002), we get a palindrome (3005538355003).

The spelling of 2001334024001 in words is "two trillion, one billion, three hundred thirty-four million, twenty-four thousand, one".