2766480000 has 160 divisors (see below), whose sum is σ = 9183435360. Its totient is φ = 737664000.

The previous prime is 2766479993. The next prime is 2766480007. The reversal of 2766480000 is 846672.

It is an interprime number because it is at equal distance from previous prime (2766479993) and next prime (2766480007).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2766480007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234237 + ... + 245763.

It is an arithmetic number, because the mean of its divisors is an integer number (57396471).

Almost surely, 2^2766480000 is an apocalyptic number.

2766480000 is a gapful number since it is divisible by the number (20) 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 2766480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591717680).

2766480000 is an abundant number, since it is smaller than the sum of its proper divisors (6416955360).

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

2766480000 is an equidigital number, since it uses as much as digits as its factorization.

2766480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564 (or 11537 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2766480000 is about 52597.3383356991. The cubic root of 2766480000 is about 1403.8127362842.

The spelling of 2766480000 in words is "two billion, seven hundred sixty-six million, four hundred eighty thousand".