2684064 has 48 divisors (see below), whose sum is σ = 7160832. Its totient is φ = 880128.

The previous prime is 2684063. The next prime is 2684069. The reversal of 2684064 is 4604862.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2¹⁹ + 6⁵ + 8⁷ + 4⁶ + 0 + 6⁶ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684063) 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, 6817 + ... + 7199.

It is an arithmetic number, because the mean of its divisors is an integer number (149184).

2^2684064 is an apocalyptic number.

2684064 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 2684064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580416).

2684064 is an abundant number, since it is smaller than the sum of its proper divisors (4476768).

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

2684064 is a wasteful number, since it uses less digits than its factorization.

2684064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

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

The square root of 2684064 is about 1638.3113257254. The cubic root of 2684064 is about 138.9731673616.

The spelling of 2684064 in words is "two million, six hundred eighty-four thousand, sixty-four".