2771390736 has 135 divisors (see below), whose sum is σ = 8024822533. Its totient is φ = 892842240.

The previous prime is 2771390729. The next prime is 2771390737. The reversal of 2771390736 is 6370931772.

The square root of 2771390736 is 52644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 133541136 + 2637849600 = 11556^2 + 51360^2 .

It is a super-2 number, since 2×2771390736² = 15361213223173243392, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2771390691 and 2771390700.

It is not an unprimeable number, because it can be changed into a prime (2771390737) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25900795 + ... + 25900901.

Almost surely, 2^2771390736 is an apocalyptic number.

2771390736 is the 52644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2771390736

2771390736 is an abundant number, since it is smaller than the sum of its proper divisors (5253431797).

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

2771390736 is a wasteful number, since it uses less digits than its factorization.

2771390736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The cubic root of 2771390736 is about 1404.6428740718.

The spelling of 2771390736 in words is "two billion, seven hundred seventy-one million, three hundred ninety thousand, seven hundred thirty-six".