2666444832 has 288 divisors, whose sum is σ = 8698015872. Its totient is φ = 799248384.

The previous prime is 2666444827. The next prime is 2666444897. The reversal of 2666444832 is 2384446662.

2666444832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3039978 + ... + 3040854.

It is an arithmetic number, because the mean of its divisors is an integer number (30201444).

Almost surely, 2^2666444832 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 2666444832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349007936).

2666444832 is an abundant number, since it is smaller than the sum of its proper divisors (6031571040).

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

2666444832 is a wasteful number, since it uses less digits than its factorization.

2666444832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 922 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 2666444832 is about 51637.6299998364. The cubic root of 2666444832 is about 1386.6840947432.

The spelling of 2666444832 in words is "two billion, six hundred sixty-six million, four hundred forty-four thousand, eight hundred thirty-two".