2771045640 has 448 divisors, whose sum is σ = 10453976640. Its totient is φ = 655050240.

The previous prime is 2771045593. The next prime is 2771045647. The reversal of 2771045640 is 465401772.

2771045640 is a `hidden beast` number, since 2 + 7 + 7 + 1 + 0 + 4 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2771045595 and 2771045604.

It is not an unprimeable number, because it can be changed into a prime (2771045647) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 17000199 + ... + 17000361.

Almost surely, 2^2771045640 is an apocalyptic number.

2771045640 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 2771045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226988320).

2771045640 is an abundant number, since it is smaller than the sum of its proper divisors (7682931000).

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

2771045640 is a wasteful number, since it uses less digits than its factorization.

2771045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2771045640 is about 52640.7222594827. The cubic root of 2771045640 is about 1404.5845691984.

The spelling of 2771045640 in words is "two billion, seven hundred seventy-one million, forty-five thousand, six hundred forty".