2582064000 has 512 divisors, whose sum is σ = 9801792000. Its totient is φ = 667699200.

The previous prime is 2582063993. The next prime is 2582064031. The reversal of 2582064000 is 4602852.

2582064000 is a `hidden beast` number, since 2 + 58 + 206 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18575931 + ... + 18576069.

It is an arithmetic number, because the mean of its divisors is an integer number (19144125).

Almost surely, 2^2582064000 is an apocalyptic number.

2582064000 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 2582064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900896000).

2582064000 is an abundant number, since it is smaller than the sum of its proper divisors (7219728000).

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

2582064000 is a wasteful number, since it uses less digits than its factorization.

2582064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2582064000 is about 50814.0138150885. The cubic root of 2582064000 is about 1371.8996149782.

Adding to 2582064000 its reverse (4602852), we get a palindrome (2586666852).

The spelling of 2582064000 in words is "two billion, five hundred eighty-two million, sixty-four thousand".