2764664760 has 256 divisors, whose sum is σ = 9881948160. Its totient is φ = 609914880.

The previous prime is 2764664737. The next prime is 2764664767. The reversal of 2764664760 is 674664672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764664767) 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 63 ways as a sum of consecutive naturals, for example, 1251577 + ... + 1253783.

It is an arithmetic number, because the mean of its divisors is an integer number (38601360).

Almost surely, 2^2764664760 is an apocalyptic number.

2764664760 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 2764664760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940974080).

2764664760 is an abundant number, since it is smaller than the sum of its proper divisors (7117283400).

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

2764664760 is a wasteful number, since it uses less digits than its factorization.

2764664760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The square root of 2764664760 is about 52580.0794978479. The cubic root of 2764664760 is about 1403.5056294691.

The spelling of 2764664760 in words is "two billion, seven hundred sixty-four million, six hundred sixty-four thousand, seven hundred sixty".