2000735976721 has 32 divisors (see below), whose sum is σ = 2174488727040. Its totient is φ = 1835127630336.

The previous prime is 2000735976719. The next prime is 2000735976749. The reversal of 2000735976721 is 1276795370002.

It is a cyclic number.

It is not a de Polignac number, because 2000735976721 - 2¹ = 2000735976719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000735976751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369341205 + ... + 369346621.

It is an arithmetic number, because the mean of its divisors is an integer number (67952772720).

Almost surely, 2^{2000735976721} is an apocalyptic number.

It is an amenable number.

2000735976721 is a deficient number, since it is larger than the sum of its proper divisors (173752750319).

2000735976721 is a wasteful number, since it uses less digits than its factorization.

2000735976721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153.

The product of its (nonzero) digits is 1111320, while the sum is 49.

The spelling of 2000735976721 in words is "two trillion, seven hundred thirty-five million, nine hundred seventy-six thousand, seven hundred twenty-one".