2001106944 has 144 divisors (see below), whose sum is σ = 5995112760. Its totient is φ = 666869760.

The previous prime is 2001106931. The next prime is 2001106951. The reversal of 2001106944 is 4496011002.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 495654 + ... + 499674.

Almost surely, 2^2001106944 is an apocalyptic number.

2001106944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997556380).

2001106944 is an abundant number, since it is smaller than the sum of its proper divisors (3994005816).

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

2001106944 is an frugal number, since it uses more digits than its factorization.

2001106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2001106944 is about 44733.7338481822. The cubic root of 2001106944 is about 1260.1534506988.

Adding to 2001106944 its reverse (4496011002), we get a palindrome (6497117946).

The spelling of 2001106944 in words is "two billion, one million, one hundred six thousand, nine hundred forty-four".