2880813360 has 40 divisors (see below), whose sum is σ = 8930522160. Its totient is φ = 768216832.

The previous prime is 2880813349. The next prime is 2880813373. The reversal of 2880813360 is 633180882.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6001455 + ... + 6001934.

It is an arithmetic number, because the mean of its divisors is an integer number (223263054).

Almost surely, 2^2880813360 is an apocalyptic number.

2880813360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2880813360 is an abundant number, since it is smaller than the sum of its proper divisors (6049708800).

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

2880813360 is a wasteful number, since it uses less digits than its factorization.

2880813360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003405 (or 12003399 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2880813360 is about 53673.2089594054. The cubic root of 2880813360 is about 1422.8912459828.

The spelling of 2880813360 in words is "two billion, eight hundred eighty million, eight hundred thirteen thousand, three hundred sixty".