2643641 has 32 divisors (see below), whose sum is σ = 3763200. Its totient is φ = 1788480.

The previous prime is 2643629. The next prime is 2643647. The reversal of 2643641 is 1463462.

2643641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2643641 - 2¹⁸ = 2381497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2643641.

It is not an unprimeable number, because it can be changed into a prime (2643647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18950 + ... + 19088.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

2^2643641 is an apocalyptic number.

It is an amenable number.

2643641 is a deficient number, since it is larger than the sum of its proper divisors (1119559).

2643641 is a wasteful number, since it uses less digits than its factorization.

2643641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its digits is 3456, while the sum is 26.

The square root of 2643641 is about 1625.9277351715. The cubic root of 2643641 is about 138.2719729155.

The spelling of 2643641 in words is "two million, six hundred forty-three thousand, six hundred forty-one".