2582448 has 80 divisors (see below), whose sum is σ = 7487616. Its totient is φ = 760320.

The previous prime is 2582443. The next prime is 2582491. The reversal of 2582448 is 8442852.

It is a happy number.

It is a Cunningham number, because it is equal to 1607²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2582441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35340 + ... + 35412.

2^2582448 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 2582448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743808).

2582448 is an abundant number, since it is smaller than the sum of its proper divisors (4905168).

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

2582448 is a wasteful number, since it uses less digits than its factorization.

2582448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 2582448 is about 1606.9996888612. Note that the first 3 decimals coincide. The cubic root of 2582448 is about 137.1967620437.

The spelling of 2582448 in words is "two million, five hundred eighty-two thousand, four hundred forty-eight".