2564541 has 20 divisors (see below), whose sum is σ = 4379232. Its totient is φ = 1465128.

The previous prime is 2564539. The next prime is 2564561. The reversal of 2564541 is 1454652.

It is not a de Polignac number, because 2564541 - 2¹ = 2564539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1695 + ... + 2828.

2^2564541 is an apocalyptic number.

2564541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2564541 is a deficient number, since it is larger than the sum of its proper divisors (1814691).

2564541 is an equidigital number, since it uses as much as digits as its factorization.

2564541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4533 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2564541 is about 1601.4184337643. The cubic root of 2564541 is about 136.8789133803.

The spelling of 2564541 in words is "two million, five hundred sixty-four thousand, five hundred forty-one".