2742811776 has 192 divisors, whose sum is σ = 8170414200. Its totient is φ = 882524160.

The previous prime is 2742811711. The next prime is 2742811777. The reversal of 2742811776 is 6771182472.

It can be written as a sum of positive squares in 4 ways, for example, as 2650190400 + 92621376 = 51480^2 + 9624^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2742811777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9760756 + ... + 9761036.

Almost surely, 2^2742811776 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 2742811776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085207100).

2742811776 is an abundant number, since it is smaller than the sum of its proper divisors (5427602424).

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

2742811776 is a wasteful number, since it uses less digits than its factorization.

2742811776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 2742811776 is about 52371.8605359787. The cubic root of 2742811776 is about 1399.7978919129.

It can be divided in two parts, 27428 and 11776, that added together give a square (39204 = 198²).

The spelling of 2742811776 in words is "two billion, seven hundred forty-two million, eight hundred eleven thousand, seven hundred seventy-six".