2880985968 has 200 divisors, whose sum is σ = 9725592800. Its totient is φ = 823011840.

The previous prime is 2880985967. The next prime is 2880985973. The reversal of 2880985968 is 8695890882.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880985967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 441288 + ... + 447768.

It is an arithmetic number, because the mean of its divisors is an integer number (48627964).

Almost surely, 2^2880985968 is an apocalyptic number.

2880985968 is a gapful number since it is divisible by the number (28) 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 2880985968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862796400).

2880985968 is an abundant number, since it is smaller than the sum of its proper divisors (6844606832).

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

2880985968 is an equidigital number, since it uses as much as digits as its factorization.

2880985968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The square root of 2880985968 is about 53674.8168883695. The cubic root of 2880985968 is about 1422.9196635946.

The spelling of 2880985968 in words is "two billion, eight hundred eighty million, nine hundred eighty-five thousand, nine hundred sixty-eight".