2082528 has 72 divisors (see below), whose sum is σ = 6774768. Its totient is φ = 594432.

The previous prime is 2082527. The next prime is 2082539. The reversal of 2082528 is 8252802.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500 + ... + 2532.

It is an arithmetic number, because the mean of its divisors is an integer number (94094).

2^2082528 is an apocalyptic number.

2082528 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 2082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387384).

2082528 is an abundant number, since it is smaller than the sum of its proper divisors (4692240).

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

2082528 is a wasteful number, since it uses less digits than its factorization.

2082528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2082528 is about 1443.0966703586. The cubic root of 2082528 is about 127.7017796905.

The spelling of 2082528 in words is "two million, eighty-two thousand, five hundred twenty-eight".