2009672 has 32 divisors (see below), whose sum is σ = 4561920. Its totient is φ = 810240.

The previous prime is 2009669. The next prime is 2009713. The reversal of 2009672 is 2769002.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 2007.

It is an arithmetic number, because the mean of its divisors is an integer number (142560).

2^2009672 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 2009672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280960).

2009672 is an abundant number, since it is smaller than the sum of its proper divisors (2552248).

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

2009672 is a wasteful number, since it uses less digits than its factorization.

2009672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2009672 is about 1417.6290064752. The cubic root of 2009672 is about 126.1948777435.

The spelling of 2009672 in words is "two million, nine thousand, six hundred seventy-two".