2801664 has 90 divisors (see below), whose sum is σ = 8519420. Its totient is φ = 884736.

The previous prime is 2801641. The next prime is 2801681. The reversal of 2801664 is 4661082.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147447 + ... + 147465.

2^2801664 is an apocalyptic number.

2801664 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 2801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259710).

2801664 is an abundant number, since it is smaller than the sum of its proper divisors (5717756).

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

2801664 is an equidigital number, since it uses as much as digits as its factorization.

2801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2801664 is about 1673.8171943196. The cubic root of 2801664 is about 140.9738898386.

The spelling of 2801664 in words is "two million, eight hundred one thousand, six hundred sixty-four".