2001735817815 has 16 divisors (see below), whose sum is σ = 3208406104800. Its totient is φ = 1065716170752.

The previous prime is 2001735817793. The next prime is 2001735817843. The reversal of 2001735817815 is 5187185371002.

It is not a de Polignac number, because 2001735817815 - 2¹¹ = 2001735815767 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 117257770 + ... + 117274839.

It is an arithmetic number, because the mean of its divisors is an integer number (200525381550).

Almost surely, 2^{2001735817815} is an apocalyptic number.

2001735817815 is a deficient number, since it is larger than the sum of its proper divisors (1206670286985).

2001735817815 is a wasteful number, since it uses less digits than its factorization.

2001735817815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234533186.

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 2001735817815 in words is "two trillion, one billion, seven hundred thirty-five million, eight hundred seventeen thousand, eight hundred fifteen".