2589552 has 90 divisors (see below), whose sum is σ = 8453328. Its totient is φ = 737856.

The previous prime is 2589551. The next prime is 2589553. The reversal of 2589552 is 2559852.

2589552 is a `hidden beast` number, since 25 + 89 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (2589551) and next prime (2589553).

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

It is a d-powerful number, because it can be written as 2¹⁵ + 5 + 8³ + 9³ + 5⁷ + 5⁹ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6873 + ... + 7239.

2^2589552 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 2589552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226664).

2589552 is an abundant number, since it is smaller than the sum of its proper divisors (5863776).

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

2589552 is a wasteful number, since it uses less digits than its factorization.

2589552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 2589552 is about 1609.2085010961. The cubic root of 2589552 is about 137.3224507249.

Subtracting from 2589552 its product of digits (36000), we obtain a palindrome (2553552).

The spelling of 2589552 in words is "two million, five hundred eighty-nine thousand, five hundred fifty-two".