2849664 has 64 divisors (see below), whose sum is σ = 7796880. Its totient is φ = 921600.

The previous prime is 2849663. The next prime is 2849669. The reversal of 2849664 is 4669482.

2849664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2849663) 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, 15654 + ... + 15834.

2^2849664 is an apocalyptic number.

2849664 is a gapful number since it is divisible by the number (24) 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 2849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898440).

2849664 is an abundant number, since it is smaller than the sum of its proper divisors (4947216).

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

2849664 is a wasteful number, since it uses less digits than its factorization.

2849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 2849664 is about 1688.0947840687. The cubic root of 2849664 is about 141.7744219778.

The spelling of 2849664 in words is "two million, eight hundred forty-nine thousand, six hundred sixty-four".