2588148 has 36 divisors (see below), whose sum is σ = 6928740. Its totient is φ = 811776.

The previous prime is 2588141. The next prime is 2588177. The reversal of 2588148 is 8418852.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 191844 = 1548^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1503 + ... + 2726.

It is an arithmetic number, because the mean of its divisors is an integer number (192465).

2^2588148 is an apocalyptic number.

It is an amenable number.

2588148 is an abundant number, since it is smaller than the sum of its proper divisors (4340592).

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

2588148 is a wasteful number, since it uses less digits than its factorization.

2588148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4251 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 2588148 is about 1608.7722026440. The cubic root of 2588148 is about 137.2976284679.

The spelling of 2588148 in words is "two million, five hundred eighty-eight thousand, one hundred forty-eight".