2880105984 has 240 divisors, whose sum is σ = 9854452608. Its totient is φ = 822638592.

The previous prime is 2880105979. The next prime is 2880106007. The reversal of 2880105984 is 4895010882.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869259 + ... + 872565.

Almost surely, 2^2880105984 is an apocalyptic number.

2880105984 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 2880105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927226304).

2880105984 is an abundant number, since it is smaller than the sum of its proper divisors (6974346624).

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

2880105984 is an frugal number, since it uses more digits than its factorization.

2880105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2880105984 is about 53666.6188985295. The cubic root of 2880105984 is about 1422.7747740718.

The spelling of 2880105984 in words is "two billion, eight hundred eighty million, one hundred five thousand, nine hundred eighty-four".