2806464 has 56 divisors (see below), whose sum is σ = 7607808. Its totient is φ = 912640.

The previous prime is 2806459. The next prime is 2806469. The reversal of 2806464 is 4646082.

2806464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2806459) and next prime (2806469).

It is not an unprimeable number, because it can be changed into a prime (2806469) 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, 8869 + ... + 9179.

2^2806464 is an apocalyptic number.

2806464 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 2806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803904).

2806464 is an abundant number, since it is smaller than the sum of its proper divisors (4801344).

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

2806464 is a wasteful number, since it uses less digits than its factorization.

2806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2806464 is about 1675.2504290404. The cubic root of 2806464 is about 141.0543525680.

The spelling of 2806464 in words is "two million, eight hundred six thousand, four hundred sixty-four".