2786416128 has 240 divisors, whose sum is σ = 8429438160. Its totient is φ = 885178368.

The previous prime is 2786416123. The next prime is 2786416169. The reversal of 2786416128 is 8216146872.

2786416128 is a `hidden beast` number, since 27 + 8 + 6 + 4 + 1 + 612 + 8 = 666.

It is a super-2 number, since 2×2786416128² = 15528229676757024768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2786416123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10059126 + ... + 10059402.

It is an arithmetic number, because the mean of its divisors is an integer number (35122659).

Almost surely, 2^2786416128 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 2786416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214719080).

2786416128 is an abundant number, since it is smaller than the sum of its proper divisors (5643022032).

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

2786416128 is a wasteful number, since it uses less digits than its factorization.

2786416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2786416128 is about 52786.5146415256. The cubic root of 2786416128 is about 1407.1767742820.

The spelling of 2786416128 in words is "two billion, seven hundred eighty-six million, four hundred sixteen thousand, one hundred twenty-eight".