2042565 has 32 divisors (see below), whose sum is σ = 3820800. Its totient is φ = 931392.

The previous prime is 2042549. The next prime is 2042581. The reversal of 2042565 is 5652402.

It is an interprime number because it is at equal distance from previous prime (2042549) and next prime (2042581).

It is not a de Polignac number, because 2042565 - 2⁴ = 2042549 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4947 + ... + 5343.

It is an arithmetic number, because the mean of its divisors is an integer number (119400).

2^2042565 is an apocalyptic number.

It is an amenable number.

2042565 is a deficient number, since it is larger than the sum of its proper divisors (1778235).

2042565 is an equidigital number, since it uses as much as digits as its factorization.

2042565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2042565 is about 1429.1833332362. The cubic root of 2042565 is about 126.8796470751.

Adding to 2042565 its reverse (5652402), we get a palindrome (7694967).

The spelling of 2042565 in words is "two million, forty-two thousand, five hundred sixty-five".