2586906 has 48 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 737352.

The previous prime is 2586853. The next prime is 2586911. The reversal of 2586906 is 6096852.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5965 + ... + 6383.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

2^2586906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2586906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2586906 is an abundant number, since it is smaller than the sum of its proper divisors (3965094).

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

2586906 is a wasteful number, since it uses less digits than its factorization.

2586906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2586906 is about 1608.3861476648. The cubic root of 2586906 is about 137.2756628335.

The spelling of 2586906 in words is "two million, five hundred eighty-six thousand, nine hundred six".