2880120960 has 384 divisors, whose sum is σ = 10711958400. Its totient is φ = 710443008.

The previous prime is 2880120941. The next prime is 2880120983. The reversal of 2880120960 is 690210882.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6560421 + ... + 6560859.

It is an arithmetic number, because the mean of its divisors is an integer number (27895725).

Almost surely, 2^2880120960 is an apocalyptic number.

2880120960 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 2880120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355979200).

2880120960 is an abundant number, since it is smaller than the sum of its proper divisors (7831837440).

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

2880120960 is a wasteful number, since it uses less digits than its factorization.

2880120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2880120960 is about 53666.7584264226. The cubic root of 2880120960 is about 1422.7772401197. Note that the first 3 decimals are identical.

The spelling of 2880120960 in words is "two billion, eight hundred eighty million, one hundred twenty thousand, nine hundred sixty".