2582000 has 40 divisors (see below), whose sum is σ = 6248112. Its totient is φ = 1032000.

The previous prime is 2581991. The next prime is 2582009. The reversal of 2582000 is 2852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2581991) and next prime (2582009).

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2582000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1355 + ... + 2645.

2^2582000 is an apocalyptic number.

2582000 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 2582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124056).

2582000 is an abundant number, since it is smaller than the sum of its proper divisors (3666112).

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

2582000 is a wasteful number, since it uses less digits than its factorization.

2582000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2582000 is about 1606.8602926204. The cubic root of 2582000 is about 137.1888280080.

Adding to 2582000 its reverse (2852), we get a palindrome (2584852).

The spelling of 2582000 in words is "two million, five hundred eighty-two thousand".