2780576760 has 128 divisors (see below), whose sum is σ = 9041417280. Its totient is φ = 680030208.

The previous prime is 2780576731. The next prime is 2780576803. The reversal of 2780576760 is 676750872.

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 31 ways as a sum of consecutive naturals, for example, 239244 + ... + 250596.

Almost surely, 2^2780576760 is an apocalyptic number.

2780576760 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 2780576760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520708640).

2780576760 is an abundant number, since it is smaller than the sum of its proper divisors (6260840520).

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

2780576760 is a wasteful number, since it uses less digits than its factorization.

2780576760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11537 (or 11533 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 2780576760 is about 52731.1744606547. The cubic root of 2780576760 is about 1406.1931009472.

The spelling of 2780576760 in words is "two billion, seven hundred eighty million, five hundred seventy-six thousand, seven hundred sixty".