2766304640 has 128 divisors (see below), whose sum is σ = 7238833920. Its totient is φ = 1002526720.

The previous prime is 2766304637. The next prime is 2766304661. The reversal of 2766304640 is 464036672.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2766304640² = 15304882722571059200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2766304594 and 2766304603.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3118277 + ... + 3119163.

It is an arithmetic number, because the mean of its divisors is an integer number (56553390).

Almost surely, 2^2766304640 is an apocalyptic number.

2766304640 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 2766304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619416960).

2766304640 is an abundant number, since it is smaller than the sum of its proper divisors (4472529280).

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

2766304640 is a wasteful number, since it uses less digits than its factorization.

2766304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 2766304640 is about 52595.6713047756. The cubic root of 2766304640 is about 1403.7830743066.

The spelling of 2766304640 in words is "two billion, seven hundred sixty-six million, three hundred four thousand, six hundred forty".