2582082000 has 240 divisors, whose sum is σ = 9264479952. Its totient is φ = 669772800.

The previous prime is 2582081951. The next prime is 2582082029. The reversal of 2582082000 is 2802852.

2582082000 is a `hidden beast` number, since 2 + 582 + 0 + 82 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 607523904 + 1974558096 = 24648^2 + 44436^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664062 + ... + 667938.

Almost surely, 2^2582082000 is an apocalyptic number.

2582082000 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 2582082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632239976).

2582082000 is an abundant number, since it is smaller than the sum of its proper divisors (6682397952).

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

2582082000 is a wasteful number, since it uses less digits than its factorization.

2582082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2582082000 is about 50814.1909312743. The cubic root of 2582082000 is about 1371.9028028847.

Adding to 2582082000 its reverse (2802852), we get a palindrome (2584884852).

The spelling of 2582082000 in words is "two billion, five hundred eighty-two million, eighty-two thousand".