2786848416 has 288 divisors, whose sum is σ = 9263794176. Its totient is φ = 816480000.

The previous prime is 2786848373. The next prime is 2786848417. The reversal of 2786848416 is 6148486872.

2786848416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2786848417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651091 + ... + 2652141.

It is an arithmetic number, because the mean of its divisors is an integer number (32165952).

Almost surely, 2^2786848416 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 2786848416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631897088).

2786848416 is an abundant number, since it is smaller than the sum of its proper divisors (6476945760).

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

2786848416 is a wasteful number, since it uses less digits than its factorization.

2786848416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1098 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2786848416 is about 52790.6091648884. The cubic root of 2786848416 is about 1407.2495408934.

The spelling of 2786848416 in words is "two billion, seven hundred eighty-six million, eight hundred forty-eight thousand, four hundred sixteen".