2771135408 has 40 divisors (see below), whose sum is σ = 5687753520. Its totient is φ = 1304259840.

The previous prime is 2771135401. The next prime is 2771135413. The reversal of 2771135408 is 8045311772.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (2771135401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18698 + ... + 76758.

It is an arithmetic number, because the mean of its divisors is an integer number (142193838).

Almost surely, 2^2771135408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2771135408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843876760).

2771135408 is an abundant number, since it is smaller than the sum of its proper divisors (2916618112).

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

2771135408 is a wasteful number, since it uses less digits than its factorization.

2771135408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58245 (or 58239 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 2771135408 is about 52641.5749004530. The cubic root of 2771135408 is about 1404.5997362030.

The spelling of 2771135408 in words is "two billion, seven hundred seventy-one million, one hundred thirty-five thousand, four hundred eight".