2582433 has 24 divisors (see below), whose sum is σ = 4305600. Its totient is φ = 1461024.

The previous prime is 2582407. The next prime is 2582441. The reversal of 2582433 is 3342852.

It is not a de Polignac number, because 2582433 - 2⁵ = 2582401 is a prime.

It is a super-4 number, since 4×2582433⁴ (a number of 27 digits) contains 4444 as substring.

It is a d-powerful number, because it can be written as 2¹⁷ + 5 + 8⁵ + 2²¹ + 4⁹ + 3⁵ + 3¹⁰ .

It is a junction number, because it is equal to n+sod(n) for n = 2582397 and 2582406.

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 23 ways as a sum of consecutive naturals, for example, 11163 + ... + 11391.

It is an arithmetic number, because the mean of its divisors is an integer number (179400).

2^2582433 is an apocalyptic number.

It is an amenable number.

2582433 is a deficient number, since it is larger than the sum of its proper divisors (1723167).

2582433 is a wasteful number, since it uses less digits than its factorization.

2582433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 418 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2582433 is about 1606.9950217720. The cubic root of 2582433 is about 137.1964964100.

The spelling of 2582433 in words is "two million, five hundred eighty-two thousand, four hundred thirty-three".