2586006852 has 48 divisors (see below), whose sum is σ = 7088918592. Its totient is φ = 723358080.

The previous prime is 2586006809. The next prime is 2586006853.

2586006852 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2586006853) 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, 751783 + ... + 755214.

It is an arithmetic number, because the mean of its divisors is an integer number (147685804).

Almost surely, 2^2586006852 is an apocalyptic number.

2586006852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2586006852 is an abundant number, since it is smaller than the sum of its proper divisors (4502911740).

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

2586006852 is a wasteful number, since it uses less digits than its factorization.

2586006852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507028 (or 1507026 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2586006852 is about 50852.7959113361. The cubic root of 2586006852 is about 1372.5975638755.

The spelling of 2586006852 in words is "two billion, five hundred eighty-six million, six thousand, eight hundred fifty-two".