2581852 has 48 divisors (see below), whose sum is σ = 5729472. Its totient is φ = 990720.

The previous prime is 2581847. The next prime is 2581861.

2581852 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14838 + ... + 15010.

It is an arithmetic number, because the mean of its divisors is an integer number (119364).

2^2581852 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 2581852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864736).

2581852 is an abundant number, since it is smaller than the sum of its proper divisors (3147620).

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

2581852 is a wasteful number, since it uses less digits than its factorization.

2581852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its digits is 6400, while the sum is 31.

The square root of 2581852 is about 1606.8142394191. The cubic root of 2581852 is about 137.1862067409.

The spelling of 2581852 in words is "two million, five hundred eighty-one thousand, eight hundred fifty-two".