2567268 has 48 divisors (see below), whose sum is σ = 7264320. Its totient is φ = 777600.

The previous prime is 2567233. The next prime is 2567269. The reversal of 2567268 is 8627652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2567269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108 + ... + 2268.

It is an arithmetic number, because the mean of its divisors is an integer number (151340).

2^2567268 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 2567268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632160).

2567268 is an abundant number, since it is smaller than the sum of its proper divisors (4697052).

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

2567268 is a wasteful number, since it uses less digits than its factorization.

2567268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2177 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2567268 is about 1602.2696402291. The cubic root of 2567268 is about 136.9274128415.

The spelling of 2567268 in words is "two million, five hundred sixty-seven thousand, two hundred sixty-eight".