2588 has 6 divisors (see below), whose sum is σ = 4536. Its totient is φ = 1292.

The previous prime is 2579. The next prime is 2591. The reversal of 2588 is 8852.

It can be divided in two parts, 2 and 588, that multiplied together give a triangular number (1176 = T_{48}).

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2588.

It is an unprimeable number.

2588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 320 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

2^{2588} is an apocalyptic number.

It is an amenable number.

2588 is a deficient number, since it is larger than the sum of its proper divisors (1948).

2588 is a wasteful number, since it uses less digits than its factorization.

2588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 649 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 2588 is about 50.8723893679. The cubic root of 2588 is about 13.7295011354.

The spelling of 2588 in words is "two thousand, five hundred eighty-eight".

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