2809664 has 56 divisors (see below), whose sum is σ = 6571488. Its totient is φ = 1175040.

The previous prime is 2809661. The next prime is 2809673. The reversal of 2809664 is 4669082.

2809664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8999 + ... + 9305.

It is an arithmetic number, because the mean of its divisors is an integer number (117348).

2^2809664 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 2809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285744).

2809664 is an abundant number, since it is smaller than the sum of its proper divisors (3761824).

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

2809664 is a wasteful number, since it uses less digits than its factorization.

2809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2809664 is about 1676.2052380302. The cubic root of 2809664 is about 141.1079434307.

The spelling of 2809664 in words is "two million, eight hundred nine thousand, six hundred sixty-four".