2743123968 has 360 divisors, whose sum is σ = 9016954128. Its totient is φ = 828112896.

The previous prime is 2743123963. The next prime is 2743123987. The reversal of 2743123968 is 8693213472.

2743123968 is a `hidden beast` number, since 274 + 312 + 3 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (2743123963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51757030 + ... + 51757082.

Almost surely, 2^2743123968 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 2743123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508477064).

2743123968 is an abundant number, since it is smaller than the sum of its proper divisors (6273830160).

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

2743123968 is an frugal number, since it uses more digits than its factorization.

2743123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2743123968 is about 52374.8409830522. The cubic root of 2743123968 is about 1399.8509991085.

The spelling of 2743123968 in words is "two billion, seven hundred forty-three million, one hundred twenty-three thousand, nine hundred sixty-eight".