2569248 has 72 divisors (see below), whose sum is σ = 7980336. Its totient is φ = 777600.

The previous prime is 2569213. The next prime is 2569253. The reversal of 2569248 is 8429652.

It is a happy number.

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 d-powerful number, because it can be written as 2¹⁵ + 5⁹ + 6 + 9⁵ + 2¹⁹ + 4 + 8 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2763 + ... + 3573.

It is an arithmetic number, because the mean of its divisors is an integer number (110838).

2^2569248 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 2569248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990168).

2569248 is an abundant number, since it is smaller than the sum of its proper divisors (5411088).

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

2569248 is a wasteful number, since it uses less digits than its factorization.

2569248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2569248 is about 1602.8873946725. The cubic root of 2569248 is about 136.9626054546.

The spelling of 2569248 in words is "two million, five hundred sixty-nine thousand, two hundred forty-eight".