2582463 has 16 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 1519584.

The previous prime is 2582443. The next prime is 2582491. The reversal of 2582463 is 3642852.

It is not a de Polignac number, because 2582463 - 2⁶ = 2582399 is a prime.

2582463 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2582463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582443) 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, 543 + ... + 2336.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

2^2582463 is an apocalyptic number.

2582463 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2582463 is a deficient number, since it is larger than the sum of its proper divisors (1288257).

2582463 is a wasteful number, since it uses less digits than its factorization.

2582463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918.

The product of its digits is 11520, while the sum is 30.

The square root of 2582463 is about 1607.0043559368. The cubic root of 2582463 is about 137.1970276763.

The spelling of 2582463 in words is "two million, five hundred eighty-two thousand, four hundred sixty-three".