2001016690272 has 288 divisors, whose sum is σ = 5986962072000. Its totient is φ = 632741953536.

The previous prime is 2001016690229. The next prime is 2001016690279. The reversal of 2001016690272 is 2720966101002.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001016690279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514530504 + ... + 514534392.

It is an arithmetic number, because the mean of its divisors is an integer number (20788062750).

Almost surely, 2^{2001016690272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001016690272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993481036000).

2001016690272 is an abundant number, since it is smaller than the sum of its proper divisors (3985945381728).

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

2001016690272 is a wasteful number, since it uses less digits than its factorization.

2001016690272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2001016690272 in words is "two trillion, one billion, sixteen million, six hundred ninety thousand, two hundred seventy-two".