2001756672 has 160 divisors (see below), whose sum is σ = 5995598400. Its totient is φ = 659349504.

The previous prime is 2001756667. The next prime is 2001756719. The reversal of 2001756672 is 2766571002.

2001756672 is a `hidden beast` number, since 20 + 0 + 1 + 7 + 566 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229523 + ... + 1231149.

It is an arithmetic number, because the mean of its divisors is an integer number (37472490).

Almost surely, 2^2001756672 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 2001756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997799200).

2001756672 is an abundant number, since it is smaller than the sum of its proper divisors (3993841728).

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

2001756672 is an equidigital number, since it uses as much as digits as its factorization.

2001756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2001756672 is about 44740.9954292481. The cubic root of 2001756672 is about 1260.2898199530.

The spelling of 2001756672 in words is "two billion, one million, seven hundred fifty-six thousand, six hundred seventy-two".