2001738269584 has 45 divisors (see below), whose sum is σ = 3975730262641. Its totient is φ = 976344506240.

The previous prime is 2001738269549. The next prime is 2001738269599. The reversal of 2001738269584 is 4859628371002.

The square root of 2001738269584 is 1414828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96454967184 + 1905283302400 = 310572^2 + 1380320^2 .

It is a super-3 number, since 3×2001738269584³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232027479 + ... + 232036105.

It is a 1-persistent number, because it is pandigital, but 2⋅2001738269584 = 4003476539168 is not.

Almost surely, 2^{2001738269584} is an apocalyptic number.

2001738269584 is the 1414828-th square number.

It is an amenable number.

2001738269584 is a deficient number, since it is larger than the sum of its proper divisors (1973991993057).

2001738269584 is an frugal number, since it uses more digits than its factorization.

2001738269584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17344 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 2001738269584 in words is "two trillion, one billion, seven hundred thirty-eight million, two hundred sixty-nine thousand, five hundred eighty-four".