2442528 has 96 divisors (see below), whose sum is σ = 7801920. Its totient is φ = 737280.

The previous prime is 2442527. The next prime is 2442547. The reversal of 2442528 is 8252442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2442527) 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 15 ways as a sum of consecutive naturals, for example, 9376 + ... + 9632.

It is an arithmetic number, because the mean of its divisors is an integer number (81270).

2^2442528 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 2442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900960).

2442528 is an abundant number, since it is smaller than the sum of its proper divisors (5359392).

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

2442528 is a wasteful number, since it uses less digits than its factorization.

2442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2442528 is about 1562.8589187767. The cubic root of 2442528 is about 134.6727877927.

It can be divided in two parts, 244 and 2528, that added together give a palindrome (2772).

The spelling of 2442528 in words is "two million, four hundred forty-two thousand, five hundred twenty-eight".