2769828880 has 360 divisors, whose sum is σ = 8404799112. Its totient is φ = 845365248.

The previous prime is 2769828877. The next prime is 2769828907. The reversal of 2769828880 is 888289672.

It can be written as a sum of positive squares in 12 ways, for example, as 1840066816 + 929762064 = 42896^2 + 30492^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24511704 + ... + 24511816.

Almost surely, 2^2769828880 is an apocalyptic number.

2769828880 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 2769828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202399556).

2769828880 is an abundant number, since it is smaller than the sum of its proper divisors (5634970232).

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

2769828880 is a wasteful number, since it uses less digits than its factorization.

2769828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 58.

The square root of 2769828880 is about 52629.1637782703. The cubic root of 2769828880 is about 1404.3789557767.

The spelling of 2769828880 in words is "two billion, seven hundred sixty-nine million, eight hundred twenty-eight thousand, eight hundred eighty".