2585440 has 96 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 860160.

The previous prime is 2585417. The next prime is 2585447. The reversal of 2585440 is 445852.

2585440 = T₈₈ + T₈₉ + ... + T₂₅₂.

2585440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2585399 and 2585408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22824 + ... + 22936.

It is an arithmetic number, because the mean of its divisors is an integer number (75411).

2^2585440 is an apocalyptic number.

2585440 is a gapful number since it is divisible by the number (20) 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 2585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728).

2585440 is an abundant number, since it is smaller than the sum of its proper divisors (4654016).

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

2585440 is a wasteful number, since it uses less digits than its factorization.

2585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 2585440 is about 1607.9303467501. The cubic root of 2585440 is about 137.2497265542.

It can be divided in two parts, 2585 and 440, that added together give a square (3025 = 55²).

The spelling of 2585440 in words is "two million, five hundred eighty-five thousand, four hundred forty".