2667834432 has 84 divisors (see below), whose sum is σ = 7695832716. Its totient is φ = 883584000.

The previous prime is 2667834431. The next prime is 2667834467. The reversal of 2667834432 is 2344387662.

It can be written as a sum of positive squares in 2 ways, for example, as 915909696 + 1751924736 = 30264^2 + 41856^2 .

It is not an unprimeable number, because it can be changed into a prime (2667834431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75682 + ... + 105182.

Almost surely, 2^2667834432 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 2667834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847916358).

2667834432 is an abundant number, since it is smaller than the sum of its proper divisors (5027998284).

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

2667834432 is a wasteful number, since it uses less digits than its factorization.

2667834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29676 (or 29663 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 2667834432 is about 51651.0835510737. The cubic root of 2667834432 is about 1386.9249399759.

The spelling of 2667834432 in words is "two billion, six hundred sixty-seven million, eight hundred thirty-four thousand, four hundred thirty-two".