2001670272 has 256 divisors, whose sum is σ = 6829267200. Its totient is φ = 565346304.

The previous prime is 2001670271. The next prime is 2001670301. The reversal of 2001670272 is 2720761002.

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

It is not an unprimeable number, because it can be changed into a prime (2001670271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2346198 + ... + 2347050.

It is an arithmetic number, because the mean of its divisors is an integer number (26676825).

Almost surely, 2^2001670272 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 2001670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414633600).

2001670272 is an abundant number, since it is smaller than the sum of its proper divisors (4827596928).

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

2001670272 is an equidigital number, since it uses as much as digits as its factorization.

2001670272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2001670272 is about 44740.0298614116. The cubic root of 2001670272 is about 1260.2716874449.

The spelling of 2001670272 in words is "two billion, one million, six hundred seventy thousand, two hundred seventy-two".