2567936 has 36 divisors (see below), whose sum is σ = 5862192. Its totient is φ = 1099776.

The previous prime is 2567933. The next prime is 2567941. The reversal of 2567936 is 6397652.

It is a d-powerful number, because it can be written as 2¹³ + 5⁵ + 6⁶ + 7⁷ + 9⁴ + 3⁵ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 2567936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1076 + ... + 2508.

2^2567936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2567936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931096).

2567936 is an abundant number, since it is smaller than the sum of its proper divisors (3294256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2567936 is an equidigital number, since it uses as much as digits as its factorization.

2567936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1442 counting only the distinct ones).

The product of its digits is 68040, while the sum is 38.

The square root of 2567936 is about 1602.4780809733. The cubic root of 2567936 is about 136.9392879268.

It can be divided in two parts, 256 and 7936, that added together give a 13-th power (8192 = 2¹³).

The spelling of 2567936 in words is "two million, five hundred sixty-seven thousand, nine hundred thirty-six".