2564085 has 16 divisors (see below), whose sum is σ = 4190976. Its totient is φ = 1338048.

The previous prime is 2564077. The next prime is 2564101. The reversal of 2564085 is 5804652.

It is not a de Polignac number, because 2564085 - 2³ = 2564077 is a prime.

2564085 is a lucky 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, 1114 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (261936).

2^2564085 is an apocalyptic number.

It is an amenable number.

2564085 is a deficient number, since it is larger than the sum of its proper divisors (1626891).

2564085 is a wasteful number, since it uses less digits than its factorization.

2564085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2564085 is about 1601.2760536522. The cubic root of 2564085 is about 136.8708001047.

The spelling of 2564085 in words is "two million, five hundred sixty-four thousand, eighty-five".