2589601 has 12 divisors (see below), whose sum is σ = 3088260. Its totient is φ = 2163840.

The previous prime is 2589599. The next prime is 2589607. The reversal of 2589601 is 1069852.

It can be written as a sum of positive squares in 2 ways, for example, as 1002001 + 1587600 = 1001^2 + 1260^2 .

It is not a de Polignac number, because 2589601 - 2¹ = 2589599 is a prime.

It is an Ulam number.

2589601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2589607) 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, 1365 + ... + 2653.

It is an arithmetic number, because the mean of its divisors is an integer number (257355).

2^2589601 is an apocalyptic number.

It is an amenable number.

2589601 is a deficient number, since it is larger than the sum of its proper divisors (498659).

2589601 is a wasteful number, since it uses less digits than its factorization.

2589601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 2589601 is about 1609.2237259002. The cubic root of 2589601 is about 137.3233168667.

The spelling of 2589601 in words is "two million, five hundred eighty-nine thousand, six hundred one".