2878560 has 72 divisors (see below), whose sum is σ = 9828000. Its totient is φ = 767232.

The previous prime is 2878543. The next prime is 2878573. The reversal of 2878560 is 658782.

2878560 is a `hidden beast` number, since 28 + 78 + 560 = 666.

2878560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2878560² = 16572215347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 441 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

2^2878560 is an apocalyptic number.

2878560 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 2878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914000).

2878560 is an abundant number, since it is smaller than the sum of its proper divisors (6949440).

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

2878560 is a wasteful number, since it uses less digits than its factorization.

2878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2878560 is about 1696.6319577327. The cubic root of 2878560 is about 142.2520156044.

The spelling of 2878560 in words is "two million, eight hundred seventy-eight thousand, five hundred sixty".