2822640 has 80 divisors (see below), whose sum is σ = 9225600. Its totient is φ = 711936.

The previous prime is 2822623. The next prime is 2822641. The reversal of 2822640 is 462282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2822640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4251 + ... + 4869.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

2^2822640 is an apocalyptic number.

2822640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612800).

2822640 is an abundant number, since it is smaller than the sum of its proper divisors (6402960).

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

2822640 is a wasteful number, since it uses less digits than its factorization.

2822640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2822640 is about 1680.0714270530. The cubic root of 2822640 is about 141.3248383012.

The spelling of 2822640 in words is "two million, eight hundred twenty-two thousand, six hundred forty".