2528120 has 32 divisors (see below), whose sum is σ = 6501600. Its totient is φ = 866688.

The previous prime is 2528077. The next prime is 2528129. The reversal of 2528120 is 218252.

2528120 = T₁₅₄ + T₁₅₅ + ... + T₂₆₅.

2528120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2528092 and 2528101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4235 + ... + 4794.

It is an arithmetic number, because the mean of its divisors is an integer number (203175).

2^2528120 is an apocalyptic number.

2528120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2528120 is an abundant number, since it is smaller than the sum of its proper divisors (3973480).

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

2528120 is a wasteful number, since it uses less digits than its factorization.

2528120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9047 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2528120 is about 1590.0062892957. The cubic root of 2528120 is about 136.2278475895.

Subtracting from 2528120 its sum of digits (20), we obtain a square (2528100 = 1590²).

The spelling of 2528120 in words is "two million, five hundred twenty-eight thousand, one hundred twenty".