2586142816 has 96 divisors (see below), whose sum is σ = 5669637120. Its totient is φ = 1154942976.

The previous prime is 2586142807. The next prime is 2586142817. The reversal of 2586142816 is 6182416852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2586142817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738425 + ... + 1739911.

It is an arithmetic number, because the mean of its divisors is an integer number (59058720).

Almost surely, 2^2586142816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2586142816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834818560).

2586142816 is an abundant number, since it is smaller than the sum of its proper divisors (3083494304).

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

2586142816 is a wasteful number, since it uses less digits than its factorization.

2586142816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1668 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The square root of 2586142816 is about 50854.1327327485. The cubic root of 2586142816 is about 1372.6216190560.

The spelling of 2586142816 in words is "two billion, five hundred eighty-six million, one hundred forty-two thousand, eight hundred sixteen".