2528416 has 36 divisors (see below), whose sum is σ = 5479866. Its totient is φ = 1147520.

The previous prime is 2528411. The next prime is 2528419. The reversal of 2528416 is 6148252.

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 156816 = 1540^2 + 396^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2528411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3546 + ... + 4198.

2^2528416 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 2528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739933).

2528416 is an abundant number, since it is smaller than the sum of its proper divisors (2951450).

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

2528416 is a wasteful number, since it uses less digits than its factorization.

2528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2528416 is about 1590.0993679642. The cubic root of 2528416 is about 136.2331640393.

It can be divided in two parts, 252 and 8416, that added together give a palindrome (8668).

The spelling of 2528416 in words is "two million, five hundred twenty-eight thousand, four hundred sixteen".