2786779968 has 224 divisors, whose sum is σ = 8767315968. Its totient is φ = 764467200.

The previous prime is 2786779939. The next prime is 2786779973. The reversal of 2786779968 is 8699776872.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2786779968² = 15532285180092162048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8790946 + ... + 8791262.

Almost surely, 2^2786779968 is an apocalyptic number.

2786779968 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 2786779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383657984).

2786779968 is an abundant number, since it is smaller than the sum of its proper divisors (5980536000).

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

2786779968 is a wasteful number, since it uses less digits than its factorization.

2786779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 69.

The square root of 2786779968 is about 52789.9608637855. The cubic root of 2786779968 is about 1407.2380196107.

The spelling of 2786779968 in words is "two billion, seven hundred eighty-six million, seven hundred seventy-nine thousand, nine hundred sixty-eight".