2766882560 has 144 divisors (see below), whose sum is σ = 7176206016. Its totient is φ = 1016070144.

The previous prime is 2766882541. The next prime is 2766882647. The reversal of 2766882560 is 652886672.

It is a junction number, because it is equal to n+sod(n) for n = 2766882499 and 2766882508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4276157 + ... + 4276803.

It is an arithmetic number, because the mean of its divisors is an integer number (49834764).

Almost surely, 2^2766882560 is an apocalyptic number.

2766882560 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 2766882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588103008).

2766882560 is an abundant number, since it is smaller than the sum of its proper divisors (4409323456).

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

2766882560 is a wasteful number, since it uses less digits than its factorization.

2766882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The square root of 2766882560 is about 52601.1650061099. The cubic root of 2766882560 is about 1403.8808241849.

The spelling of 2766882560 in words is "two billion, seven hundred sixty-six million, eight hundred eighty-two thousand, five hundred sixty".