2759882880 has 256 divisors, whose sum is σ = 9200563200. Its totient is φ = 702873600.

The previous prime is 2759882843. The next prime is 2759882893. The reversal of 2759882880 is 882889572.

It is a super-2 number, since 2×2759882880² = 15233907022634188800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2759882880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5297020 + ... + 5297540.

It is an arithmetic number, because the mean of its divisors is an integer number (35939700).

Almost surely, 2^2759882880 is an apocalyptic number.

2759882880 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 2759882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600281600).

2759882880 is an abundant number, since it is smaller than the sum of its proper divisors (6440680320).

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

2759882880 is a wasteful number, since it uses less digits than its factorization.

2759882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The square root of 2759882880 is about 52534.5874638795. The cubic root of 2759882880 is about 1402.6959751057.

The spelling of 2759882880 in words is "two billion, seven hundred fifty-nine million, eight hundred eighty-two thousand, eight hundred eighty".