2565248 has 48 divisors (see below), whose sum is σ = 5959350. Its totient is φ = 1096704.

The previous prime is 2565239. The next prime is 2565257. The reversal of 2565248 is 8425652.

It is an interprime number because it is at equal distance from previous prime (2565239) and next prime (2565257).

It can be written as a sum of positive squares in only one way, i.e., 1658944 + 906304 = 1288^2 + 952^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6068 + ... + 6476.

2^2565248 is an apocalyptic number.

2565248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979675).

2565248 is an abundant number, since it is smaller than the sum of its proper divisors (3394102).

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

2565248 is an equidigital number, since it uses as much as digits as its factorization.

2565248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 2565248 is about 1601.6391603604. The cubic root of 2565248 is about 136.8914906148.

The spelling of 2565248 in words is "two million, five hundred sixty-five thousand, two hundred forty-eight".