2560384 has 32 divisors (see below), whose sum is σ = 5183640. Its totient is φ = 1259520.

The previous prime is 2560379. The next prime is 2560399. The reversal of 2560384 is 4830652.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2¹¹ + 5 + 6⁷ + 0 + 3¹¹ + 8⁷ + 4⁶ .

2560384 is a modest number, since divided by 384 gives 256 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10504 + ... + 10744.

2^2560384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591820).

2560384 is an abundant number, since it is smaller than the sum of its proper divisors (2623256).

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

2560384 is an equidigital number, since it uses as much as digits as its factorization.

2560384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2560384 is about 1600.1199955003. The cubic root of 2560384 is about 136.8049152960.

The spelling of 2560384 in words is "two million, five hundred sixty thousand, three hundred eighty-four".