2822688 has 126 divisors (see below), whose sum is σ = 9158247. Its totient is φ = 855360.

The previous prime is 2822681. The next prime is 2822689. The reversal of 2822688 is 8862282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 1411344 = 1188^2 + 1188^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1188.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (24576) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (2822681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 256603 + ... + 256613.

2^2822688 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 2822688

2822688 is an abundant number, since it is smaller than the sum of its proper divisors (6335559).

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

2822688 is an equidigital number, since it uses as much as digits as its factorization.

2822688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 16 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2822688 is about 1680.0857120992. The cubic root of 2822688 is about 141.3256393897.

The spelling of 2822688 in words is "two million, eight hundred twenty-two thousand, six hundred eighty-eight".