2582159712 has 96 divisors (see below), whose sum is σ = 7411025664. Its totient is φ = 780710400.

The previous prime is 2582159711. The next prime is 2582159747. The reversal of 2582159712 is 2179512852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582159711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511762 + ... + 516782.

It is an arithmetic number, because the mean of its divisors is an integer number (77198184).

Almost surely, 2^2582159712 is an apocalyptic number.

2582159712 is a gapful number since it is divisible by the number (22) 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 2582159712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705512832).

2582159712 is an abundant number, since it is smaller than the sum of its proper divisors (4828865952).

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

2582159712 is a wasteful number, since it uses less digits than its factorization.

2582159712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5524 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 2582159712 is about 50814.9555938013. The cubic root of 2582159712 is about 1371.9165659696.

The spelling of 2582159712 in words is "two billion, five hundred eighty-two million, one hundred fifty-nine thousand, seven hundred twelve".