2578560 has 128 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 638976.

The previous prime is 2578559. The next prime is 2578573. The reversal of 2578560 is 658752.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32601 + ... + 32679.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

2^2578560 is an apocalyptic number.

2578560 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 2578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

2578560 is an abundant number, since it is smaller than the sum of its proper divisors (6234240).

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

2578560 is a wasteful number, since it uses less digits than its factorization.

2578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2578560 is about 1605.7895254360. The cubic root of 2578560 is about 137.1278753475.

The spelling of 2578560 in words is "two million, five hundred seventy-eight thousand, five hundred sixty".