2001059209744 has 135 divisors (see below), whose sum is σ = 4761694850607. Its totient is φ = 812154579264.

The previous prime is 2001059209729. The next prime is 2001059209753. The reversal of 2001059209744 is 4479029501002.

The square root of 2001059209744 is 1414588.

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

It is a super-3 number, since 3×2001059209744³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001059209744.

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 26 ways as a sum of consecutive naturals, for example, 752559487 + ... + 752562145.

Almost surely, 2^{2001059209744} is an apocalyptic number.

2001059209744 is the 1414588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001059209744

2001059209744 is an abundant number, since it is smaller than the sum of its proper divisors (2760635640863).

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

2001059209744 is an frugal number, since it uses more digits than its factorization.

2001059209744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 2001059209744 in words is "two trillion, one billion, fifty-nine million, two hundred nine thousand, seven hundred forty-four".