2806032784 has 135 divisors (see below), whose sum is σ = 6247558371. Its totient is φ = 1220474880.

The previous prime is 2806032769. The next prime is 2806032787. The reversal of 2806032784 is 4872306082.

The square root of 2806032784 is 52972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 197683600 + 2608349184 = 14060^2 + 51072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2806032787) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68439804 + ... + 68439844.

Almost surely, 2^2806032784 is an apocalyptic number.

2806032784 is the 52972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806032784

2806032784 is an abundant number, since it is smaller than the sum of its proper divisors (3441525587).

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

2806032784 is a wasteful number, since it uses less digits than its factorization.

2806032784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The cubic root of 2806032784 is about 1410.4712781716.

The spelling of 2806032784 in words is "two billion, eight hundred six million, thirty-two thousand, seven hundred eighty-four".