2502528 has 128 divisors (see below), whose sum is σ = 8160000. Its totient is φ = 677376.

The previous prime is 2502527. The next prime is 2502541. The reversal of 2502528 is 8252052.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2502498 and 2502507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131703 + ... + 131721.

It is an arithmetic number, because the mean of its divisors is an integer number (63750).

2^2502528 is an apocalyptic number.

2502528 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 2502528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080000).

2502528 is an abundant number, since it is smaller than the sum of its proper divisors (5657472).

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

2502528 is an equidigital number, since it uses as much as digits as its factorization.

2502528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2502528 is about 1581.9380518845. The cubic root of 2502528 is about 135.7666124035.

The spelling of 2502528 in words is "two million, five hundred two thousand, five hundred twenty-eight".