2582496 has 144 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 725760.

The previous prime is 2582491. The next prime is 2582501. The reversal of 2582496 is 6942852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2582491) and next prime (2582501).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a d-powerful number, because it can be written as 2 + 5⁹ + 8⁵ + 2¹⁹ + 4⁸ + 9⁴ + 6³ .

It is a self number, because there is not a number n which added to its sum of digits gives 2582496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42306 + ... + 42366.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2^2582496 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 2582496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

2582496 is an abundant number, since it is smaller than the sum of its proper divisors (6323184).

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

2582496 is a wasteful number, since it uses less digits than its factorization.

2582496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2582496 is about 1607.0146234556. The cubic root of 2582496 is about 137.1976120645.

The spelling of 2582496 in words is "two million, five hundred eighty-two thousand, four hundred ninety-six".