2528960 has 56 divisors (see below), whose sum is σ = 6888480. Its totient is φ = 866304.

The previous prime is 2528941. The next prime is 2528969. The reversal of 2528960 is 698252.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2528969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1676 + ... + 2804.

2^2528960 is an apocalyptic number.

2528960 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 2528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444240).

2528960 is an abundant number, since it is smaller than the sum of its proper divisors (4359520).

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

2528960 is a wasteful number, since it uses less digits than its factorization.

2528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2528960 is about 1590.2704172561. The cubic root of 2528960 is about 136.2429337300.

The spelling of 2528960 in words is "two million, five hundred twenty-eight thousand, nine hundred sixty".