2528160 has 96 divisors (see below), whose sum is σ = 8346240. Its totient is φ = 642048.

The previous prime is 2528147. The next prime is 2528161. The reversal of 2528160 is 618252.

2528160 = 526² + 527² + ... + 534².

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2528160.

It is not an unprimeable number, because it can be changed into a prime (2528161) 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, 10926 + ... + 11154.

It is an arithmetic number, because the mean of its divisors is an integer number (86940).

2^2528160 is an apocalyptic number.

2528160 is a gapful number since it is divisible by the number (20) 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 2528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173120).

2528160 is an abundant number, since it is smaller than the sum of its proper divisors (5818080).

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

2528160 is a wasteful number, since it uses less digits than its factorization.

2528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2528160 is about 1590.0188678126. The cubic root of 2528160 is about 136.2285660529.

The spelling of 2528160 in words is "two million, five hundred twenty-eight thousand, one hundred sixty".