2578761 has 12 divisors (see below), whose sum is σ = 3740100. Its totient is φ = 1712160.

The previous prime is 2578759. The next prime is 2578787. The reversal of 2578761 is 1678752.

2578761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 1279161 = 1140^2 + 1131^2 .

It is not a de Polignac number, because 2578761 - 2¹ = 2578759 is a prime.

Its product of digits (23520) is a multiple of the sum of its prime factors (1176).

It is not an unprimeable number, because it can be changed into a prime (2578721) 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 11 ways as a sum of consecutive naturals, for example, 2731 + ... + 3551.

It is an arithmetic number, because the mean of its divisors is an integer number (311675).

2^2578761 is an apocalyptic number.

It is an amenable number.

2578761 is a deficient number, since it is larger than the sum of its proper divisors (1161339).

2578761 is a wasteful number, since it uses less digits than its factorization.

2578761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1173 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 2578761 is about 1605.8521102518. The cubic root of 2578761 is about 137.1314383164.

Subtracting from 2578761 its reverse (1678752), we obtain a palindrome (900009).

The spelling of 2578761 in words is "two million, five hundred seventy-eight thousand, seven hundred sixty-one".