2766340080 has 480 divisors, whose sum is σ = 11297491200. Its totient is φ = 620186112.

The previous prime is 2766340063. The next prime is 2766340091. The reversal of 2766340080 is 800436672.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6244339 + ... + 6244781.

It is an arithmetic number, because the mean of its divisors is an integer number (23536440).

Almost surely, 2^2766340080 is an apocalyptic number.

2766340080 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 2766340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648745600).

2766340080 is an abundant number, since it is smaller than the sum of its proper divisors (8531151120).

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

2766340080 is a wasteful number, since it uses less digits than its factorization.

2766340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2766340080 is about 52596.0082135517. The cubic root of 2766340080 is about 1403.7890690500.

The spelling of 2766340080 in words is "two billion, seven hundred sixty-six million, three hundred forty thousand, eighty".