2786884128 has 288 divisors, whose sum is σ = 9845821440. Its totient is φ = 729699840.

The previous prime is 2786884127. The next prime is 2786884151. The reversal of 2786884128 is 8214886872.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2786884123) 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 47 ways as a sum of consecutive naturals, for example, 1186251 + ... + 1188597.

It is an arithmetic number, because the mean of its divisors is an integer number (34186880).

Almost surely, 2^2786884128 is an apocalyptic number.

2786884128 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 2786884128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922910720).

2786884128 is an abundant number, since it is smaller than the sum of its proper divisors (7058937312).

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

2786884128 is a wasteful number, since it uses less digits than its factorization.

2786884128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2409 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 2786884128 is about 52790.9474057816. The cubic root of 2786884128 is about 1407.2555519225.

The spelling of 2786884128 in words is "two billion, seven hundred eighty-six million, eight hundred eighty-four thousand, one hundred twenty-eight".