2784128256 has 432 divisors, whose sum is σ = 10118617600. Its totient is φ = 731566080.

The previous prime is 2784128227. The next prime is 2784128279. The reversal of 2784128256 is 6528214872.

2784128256 is a `hidden beast` number, since 278 + 4 + 128 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10273401 + ... + 10273671.

Almost surely, 2^2784128256 is an apocalyptic number.

2784128256 is a gapful number since it is divisible by the number (26) 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 2784128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059308800).

2784128256 is an abundant number, since it is smaller than the sum of its proper divisors (7334489344).

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

2784128256 is a wasteful number, since it uses less digits than its factorization.

2784128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 296 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2784128256 is about 52764.8392018776. The cubic root of 2784128256 is about 1406.7915336796.

The spelling of 2784128256 in words is "two billion, seven hundred eighty-four million, one hundred twenty-eight thousand, two hundred fifty-six".