2001659040000 has 945 divisors, whose sum is σ = 7543318364659. Its totient is φ = 529701120000.

The previous prime is 2001659039921. The next prime is 2001659040127. The reversal of 2001659040000 is 409561002.

The square root of 2001659040000 is 1414800.

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

2001659040000 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 659 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156930068736 + 1844728971264 = 396144^2 + 1358208^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 15279839935 + ... + 15279840065.

Almost surely, 2^{2001659040000} is an apocalyptic number.

2001659040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2001659040000 is the 1414800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001659040000

2001659040000 is an abundant number, since it is smaller than the sum of its proper divisors (5541659324659).

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

2001659040000 is an frugal number, since it uses more digits than its factorization.

2001659040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 2001659040000 in words is "two trillion, one billion, six hundred fifty-nine million, forty thousand".