2642565 has 32 divisors (see below), whose sum is σ = 4599936. Its totient is φ = 1290240.

The previous prime is 2642561. The next prime is 2642569. The reversal of 2642565 is 5652462.

2642565 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (2642561) and next prime (2642569).

It is not a de Polignac number, because 2642565 - 2² = 2642561 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Curzon number.

2642565 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10845 + ... + 11085.

It is an arithmetic number, because the mean of its divisors is an integer number (143748).

2^2642565 is an apocalyptic number.

It is an amenable number.

2642565 is a deficient number, since it is larger than the sum of its proper divisors (1957371).

2642565 is a wasteful number, since it uses less digits than its factorization.

2642565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309.

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

The square root of 2642565 is about 1625.5968134811. The cubic root of 2642565 is about 138.2532108076.

The spelling of 2642565 in words is "two million, six hundred forty-two thousand, five hundred sixty-five".