2820688 has 40 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 1276800.

The previous prime is 2820679. The next prime is 2820689. The reversal of 2820688 is 8860282.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820689) 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, 14673 + ... + 14863.

2^2820688 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 2820688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2820688 is an abundant number, since it is smaller than the sum of its proper divisors (3178928).

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

2820688 is a wasteful number, since it uses less digits than its factorization.

2820688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2820688 is about 1679.4903989008. The cubic root of 2820688 is about 141.2922530027.

The spelling of 2820688 in words is "two million, eight hundred twenty thousand, six hundred eighty-eight".