2585976 has 64 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 793728.

The previous prime is 2585971. The next prime is 2585981. The reversal of 2585976 is 6795852.

It is an interprime number because it is at equal distance from previous prime (2585971) and next prime (2585981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585971) 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, 24115 + ... + 24221.

It is an arithmetic number, because the mean of its divisors is an integer number (109350).

2^2585976 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 2585976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

2585976 is an abundant number, since it is smaller than the sum of its proper divisors (4412424).

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

2585976 is a wasteful number, since it uses less digits than its factorization.

2585976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 2585976 is about 1608.0970119990. The cubic root of 2585976 is about 137.2592105325.

The spelling of 2585976 in words is "two million, five hundred eighty-five thousand, nine hundred seventy-six".