2567448 has 72 divisors (see below), whose sum is σ = 7565220. Its totient is φ = 786240.

The previous prime is 2567447. The next prime is 2567449. The reversal of 2567448 is 8447652.

It is an interprime number because it is at equal distance from previous prime (2567447) and next prime (2567449).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567443) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12063 + ... + 12273.

2^2567448 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 2567448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782610).

2567448 is an abundant number, since it is smaller than the sum of its proper divisors (4997772).

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

2567448 is a wasteful number, since it uses less digits than its factorization.

2567448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2567448 is about 1602.3258095656. The cubic root of 2567448 is about 136.9306129175.

The spelling of 2567448 in words is "two million, five hundred sixty-seven thousand, four hundred forty-eight".