2582740 has 48 divisors (see below), whose sum is σ = 5780880. Its totient is φ = 967680.

The previous prime is 2582737. The next prime is 2582753. The reversal of 2582740 is 472852.

2582740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 266256 + 2316484 = 516^2 + 1522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2582699 and 2582708.

It is a congruent number.

It is an unprimeable number.

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, 35344 + ... + 35416.

It is an arithmetic number, because the mean of its divisors is an integer number (120435).

2^2582740 is an apocalyptic number.

2582740 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 2582740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890440).

2582740 is an abundant number, since it is smaller than the sum of its proper divisors (3198140).

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

2582740 is a wasteful number, since it uses less digits than its factorization.

2582740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2582740 is about 1607.0905388310. The cubic root of 2582740 is about 137.2019328409.

The spelling of 2582740 in words is "two million, five hundred eighty-two thousand, seven hundred forty".