2771348664 has 192 divisors, whose sum is σ = 8759577600. Its totient is φ = 725760000.

The previous prime is 2771348659. The next prime is 2771348681. The reversal of 2771348664 is 4668431772.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 690664 + ... + 694664.

It is an arithmetic number, because the mean of its divisors is an integer number (45622800).

Almost surely, 2^2771348664 is an apocalyptic number.

2771348664 is a gapful number since it is divisible by the number (24) 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 2771348664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379788800).

2771348664 is an abundant number, since it is smaller than the sum of its proper divisors (5988228936).

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

2771348664 is a wasteful number, since it uses less digits than its factorization.

2771348664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4063 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 2771348664 is about 52643.6004087866. The cubic root of 2771348664 is about 1404.6357661563.

The spelling of 2771348664 in words is "two billion, seven hundred seventy-one million, three hundred forty-eight thousand, six hundred sixty-four".