2588652 has 48 divisors (see below), whose sum is σ = 7324800. Its totient is φ = 784080.

The previous prime is 2588629. The next prime is 2588669. The reversal of 2588652 is 2568852.

It is a super-2 number, since 2×2588652² = 13402238354208, which contains 22 as substring.

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

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, 99 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (152600).

2^2588652 is an apocalyptic number.

2588652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2588652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662400).

2588652 is an abundant number, since it is smaller than the sum of its proper divisors (4736148).

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

2588652 is a wasteful number, since it uses less digits than its factorization.

2588652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2195 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2588652 is about 1608.9288362137. The cubic root of 2588652 is about 137.3065400543.

It can be divided in two parts, 2588 and 652, that added together give a triangular number (3240 = T₈₀).

The spelling of 2588652 in words is "two million, five hundred eighty-eight thousand, six hundred fifty-two".