2781088128 has 512 divisors, whose sum is σ = 10418688000. Its totient is φ = 710664192.

The previous prime is 2781088073. The next prime is 2781088147. The reversal of 2781088128 is 8218801872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11636233 + ... + 11636471.

It is an arithmetic number, because the mean of its divisors is an integer number (20349000).

Almost surely, 2^2781088128 is an apocalyptic number.

2781088128 is a gapful number since it is divisible by the number (28) 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 2781088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209344000).

2781088128 is an abundant number, since it is smaller than the sum of its proper divisors (7637599872).

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

2781088128 is a wasteful number, since it uses less digits than its factorization.

2781088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 2781088128 is about 52736.0230582474. The cubic root of 2781088128 is about 1406.2792986607.

The spelling of 2781088128 in words is "two billion, seven hundred eighty-one million, eighty-eight thousand, one hundred twenty-eight".