2277782928 has 180 divisors, whose sum is σ = 6891009840. Its totient is φ = 701882496.

The previous prime is 2277782869. The next prime is 2277782929. The reversal of 2277782928 is 8292877722.

It is not an unprimeable number, because it can be changed into a prime (2277782929) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2234803 + ... + 2235821.

It is an arithmetic number, because the mean of its divisors is an integer number (38283388).

Almost surely, 2^2277782928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2277782928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445504920).

2277782928 is an abundant number, since it is smaller than the sum of its proper divisors (4613226912).

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

2277782928 is a wasteful number, since it uses less digits than its factorization.

2277782928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1086 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 2277782928 is about 47726.1241669591. The cubic root of 2277782928 is about 1315.7421204896.

The spelling of 2277782928 in words is "two billion, two hundred seventy-seven million, seven hundred eighty-two thousand, nine hundred twenty-eight".