2771643460 has 48 divisors (see below), whose sum is σ = 6000669360. Its totient is φ = 1074677760.

The previous prime is 2771643437. The next prime is 2771643463. The reversal of 2771643460 is 643461772.

It can be written as a sum of positive squares in 8 ways, for example, as 998054464 + 1773588996 = 31592^2 + 42114^2 .

It is not an unprimeable number, because it can be changed into a prime (2771643463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117976 + ... + 139504.

It is an arithmetic number, because the mean of its divisors is an integer number (125013945).

Almost surely, 2^2771643460 is an apocalyptic number.

2771643460 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 2771643460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000334680).

2771643460 is an abundant number, since it is smaller than the sum of its proper divisors (3229025900).

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

2771643460 is a wasteful number, since it uses less digits than its factorization.

2771643460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21736 (or 21734 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 2771643460 is about 52646.4002568077. The cubic root of 2771643460 is about 1404.6855693838.

The spelling of 2771643460 in words is "two billion, seven hundred seventy-one million, six hundred forty-three thousand, four hundred sixty".