2684664 has 48 divisors (see below), whose sum is σ = 7545720. Its totient is φ = 894240.

The previous prime is 2684663. The next prime is 2684701. The reversal of 2684664 is 4664862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254 + ... + 2634.

2^2684664 is an apocalyptic number.

2684664 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 2684664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772860).

2684664 is an abundant number, since it is smaller than the sum of its proper divisors (4861056).

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

2684664 is a wasteful number, since it uses less digits than its factorization.

2684664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1386 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2684664 is about 1638.4944308724. The cubic root of 2684664 is about 138.9835220189.

The spelling of 2684664 in words is "two million, six hundred eighty-four thousand, six hundred sixty-four".