2982528 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 993024.

The previous prime is 2982527. The next prime is 2982557. The reversal of 2982528 is 8252892.

It is a Cunningham number, because it is equal to 1727²-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2982492 and 2982501.

It is not an unprimeable number, because it can be changed into a prime (2982521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3025 + ... + 3887.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

2^2982528 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 2982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

2982528 is an abundant number, since it is smaller than the sum of its proper divisors (5830272).

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

2982528 is an equidigital number, since it uses as much as digits as its factorization.

2982528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 868 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2982528 is about 1726.9997104806. Note that the first 3 decimals coincide. The cubic root of 2982528 is about 143.9444229972.

The spelling of 2982528 in words is "two million, nine hundred eighty-two thousand, five hundred twenty-eight".