2786116872 has 192 divisors, whose sum is σ = 9079525440. Its totient is φ = 703987200.

The previous prime is 2786116871. The next prime is 2786116903.

2786116872 is nontrivially palindromic in base 10.

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 (2786116871) 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, 475722 + ... + 481542.

It is an arithmetic number, because the mean of its divisors is an integer number (47289195).

Almost surely, 2^2786116872 is an apocalyptic number.

2786116872 is a gapful number since it is divisible by the number (22) 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 2786116872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539762720).

2786116872 is an abundant number, since it is smaller than the sum of its proper divisors (6293408568).

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

2786116872 is a wasteful number, since it uses less digits than its factorization.

2786116872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5881 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 2786116872 is about 52783.6799778113. The cubic root of 2786116872 is about 1407.1263964072.

The spelling of 2786116872 in words is "two billion, seven hundred eighty-six million, one hundred sixteen thousand, eight hundred seventy-two".