2802560 has 64 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 1075200.

The previous prime is 2802551. The next prime is 2802571. The reversal of 2802560 is 652082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18485 + ... + 18635.

2^2802560 is an apocalyptic number.

2802560 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 2802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).

2802560 is an abundant number, since it is smaller than the sum of its proper divisors (4174240).

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

2802560 is a wasteful number, since it uses less digits than its factorization.

2802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2802560 is about 1674.0848246131. The cubic root of 2802560 is about 140.9889165206.

The spelling of 2802560 in words is "two million, eight hundred two thousand, five hundred sixty".