2577248 has 24 divisors (see below), whose sum is σ = 5194728. Its totient is φ = 1257984.

The previous prime is 2577241. The next prime is 2577283. The reversal of 2577248 is 8427752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2577241) 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, 440 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (216447).

2^2577248 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 2577248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597364).

2577248 is an abundant number, since it is smaller than the sum of its proper divisors (2617480).

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

2577248 is a wasteful number, since it uses less digits than its factorization.

2577248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its digits is 31360, while the sum is 35.

The square root of 2577248 is about 1605.3809516747. The cubic root of 2577248 is about 137.1046140060.

The spelling of 2577248 in words is "two million, five hundred seventy-seven thousand, two hundred forty-eight".