2880945984 has 336 divisors, whose sum is σ = 9506833920. Its totient is φ = 765434880.

The previous prime is 2880945959. The next prime is 2880945997. The reversal of 2880945984 is 4895490882.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12691279 + ... + 12691505.

Almost surely, 2^2880945984 is an apocalyptic number.

2880945984 is a gapful number since it is divisible by the number (24) 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 2880945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753416960).

2880945984 is an abundant number, since it is smaller than the sum of its proper divisors (6625887936).

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

2880945984 is a wasteful number, since it uses less digits than its factorization.

2880945984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The square root of 2880945984 is about 53674.4444219034. Note that the first 4 decimals coincide. The cubic root of 2880945984 is about 1422.9130808617.

The spelling of 2880945984 in words is "two billion, eight hundred eighty million, nine hundred forty-five thousand, nine hundred eighty-four".