2032668672 has 104 divisors (see below), whose sum is σ = 5487838944. Its totient is φ = 669057024.

The previous prime is 2032668647. The next prime is 2032668679. The reversal of 2032668672 is 2768662302.

It is not an unprimeable number, because it can be changed into a prime (2032668679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018908 + ... + 1020900.

Almost surely, 2^2032668672 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 2032668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743919472).

2032668672 is an abundant number, since it is smaller than the sum of its proper divisors (3455170272).

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

2032668672 is an equidigital number, since it uses as much as digits as its factorization.

2032668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2032668672 is about 45085.1269489174. The cubic root of 2032668672 is about 1266.7440253154.

The spelling of 2032668672 in words is "two billion, thirty-two million, six hundred sixty-eight thousand, six hundred seventy-two".