2588945 has 16 divisors (see below), whose sum is σ = 3244752. Its totient is φ = 1981440.

The previous prime is 2588923. The next prime is 2588969. The reversal of 2588945 is 5498852.

2588945 = T₄₅ + T₄₆ + ... + T₂₄₉.

It can be written as a sum of positive squares in 8 ways, for example, as 16129 + 2572816 = 127^2 + 1604^2 .

It is not a de Polignac number, because 2588945 - 2⁸ = 2588689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

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, 14879 + ... + 15051.

It is an arithmetic number, because the mean of its divisors is an integer number (202797).

It is the magic constant of a 173 × 173 magic square.

2^2588945 is an apocalyptic number.

It is an amenable number.

2588945 is a deficient number, since it is larger than the sum of its proper divisors (655807).

2588945 is a wasteful number, since it uses less digits than its factorization.

2588945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its digits is 115200, while the sum is 41.

The square root of 2588945 is about 1609.0198880064. The cubic root of 2588945 is about 137.3117202663.

The spelling of 2588945 in words is "two million, five hundred eighty-eight thousand, nine hundred forty-five".