2885880960 has 320 divisors, whose sum is σ = 10396900800. Its totient is φ = 762808320.

The previous prime is 2885880953. The next prime is 2885880997. The reversal of 2885880960 is 690885882.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2885880897 and 2885880906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9279205 + ... + 9279515.

It is an arithmetic number, because the mean of its divisors is an integer number (32490315).

Almost surely, 2^2885880960 is an apocalyptic number.

2885880960 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 2885880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198450400).

2885880960 is an abundant number, since it is smaller than the sum of its proper divisors (7511019840).

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

2885880960 is a wasteful number, since it uses less digits than its factorization.

2885880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 2885880960 is about 53720.3961266110. The cubic root of 2885880960 is about 1423.7250868529.

The spelling of 2885880960 in words is "two billion, eight hundred eighty-five million, eight hundred eighty thousand, nine hundred sixty".