2565642 has 16 divisors (see below), whose sum is σ = 5179680. Its totient is φ = 847152.

The previous prime is 2565611. The next prime is 2565643. The reversal of 2565642 is 2465652.

It is a d-powerful number, because it can be written as 2¹¹ + 5⁷ + 6³ + 5⁹ + 6⁵ + 4³ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (2565643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1308 + ... + 2615.

It is an arithmetic number, because the mean of its divisors is an integer number (323730).

2^2565642 is an apocalyptic number.

2565642 is the 1308-th pentagonal number.

2565642 is an abundant number, since it is smaller than the sum of its proper divisors (2614038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2565642 is a wasteful number, since it uses less digits than its factorization.

2565642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037.

The product of its digits is 14400, while the sum is 30.

The square root of 2565642 is about 1601.7621546285. The cubic root of 2565642 is about 136.8984987073.

The spelling of 2565642 in words is "two million, five hundred sixty-five thousand, six hundred forty-two".