2582601 has 16 divisors (see below), whose sum is σ = 4107264. Its totient is φ = 1411344.

The previous prime is 2582581. The next prime is 2582609. The reversal of 2582601 is 1062852.

It is not a de Polignac number, because 2582601 - 2⁹ = 2582089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2582609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2191 + ... + 3156.

It is an arithmetic number, because the mean of its divisors is an integer number (256704).

2^2582601 is an apocalyptic number.

2582601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2582601 is a deficient number, since it is larger than the sum of its proper divisors (1524663).

2582601 is a wasteful number, since it uses less digits than its factorization.

2582601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2582601 is about 1607.0472923968. The cubic root of 2582601 is about 137.1994714484.

The spelling of 2582601 in words is "two million, five hundred eighty-two thousand, six hundred one".