2776084480 has 104 divisors (see below), whose sum is σ = 7174922832. Its totient is φ = 1024917504.

The previous prime is 2776084477. The next prime is 2776084511. The reversal of 2776084480 is 844806772.

It is a tau number, because it is divible by the number of its divisors (104).

It is a self number, because there is not a number n which added to its sum of digits gives 2776084480.

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 7 ways as a sum of consecutive naturals, for example, 261027 + ... + 271453.

Almost surely, 2^2776084480 is an apocalyptic number.

2776084480 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 2776084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587461416).

2776084480 is an abundant number, since it is smaller than the sum of its proper divisors (4398838352).

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

2776084480 is a wasteful number, since it uses less digits than its factorization.

2776084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The square root of 2776084480 is about 52688.5611874152. The cubic root of 2776084480 is about 1405.4354142449.

The spelling of 2776084480 in words is "two billion, seven hundred seventy-six million, eighty-four thousand, four hundred eighty".