2766112000 has 72 divisors (see below), whose sum is σ = 6890810472. Its totient is φ = 1106432000.

The previous prime is 2766111977. The next prime is 2766112001. The reversal of 2766112000 is 2116672.

It can be written as a sum of positive squares in 4 ways, for example, as 90326016 + 2675785984 = 9504^2 + 51728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766112001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11221 + ... + 75220.

It is an arithmetic number, because the mean of its divisors is an integer number (95705701).

Almost surely, 2^2766112000 is an apocalyptic number.

2766112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2766112000 is an abundant number, since it is smaller than the sum of its proper divisors (4124698472).

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

2766112000 is an frugal number, since it uses more digits than its factorization.

2766112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86472 (or 86448 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2766112000 is about 52593.8399434763. The cubic root of 2766112000 is about 1403.7504879885.

Adding to 2766112000 its reverse (2116672), we get a palindrome (2768228672).

The spelling of 2766112000 in words is "two billion, seven hundred sixty-six million, one hundred twelve thousand".