2771064736 has 96 divisors (see below), whose sum is σ = 6326087040. Its totient is φ = 1180876800.

The previous prime is 2771064733. The next prime is 2771064739. The reversal of 2771064736 is 6374601772.

It is an interprime number because it is at equal distance from previous prime (2771064733) and next prime (2771064739).

It is a super-2 number, since 2×2771064736² = 15357599542205499392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2771064692 and 2771064701.

It is not an unprimeable number, because it can be changed into a prime (2771064731) 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, 1860280 + ... + 1861768.

It is an arithmetic number, because the mean of its divisors is an integer number (65896740).

Almost surely, 2^2771064736 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 2771064736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163043520).

2771064736 is an abundant number, since it is smaller than the sum of its proper divisors (3555022304).

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

2771064736 is a wasteful number, since it uses less digits than its factorization.

2771064736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The square root of 2771064736 is about 52640.9036396603. The cubic root of 2771064736 is about 1404.5877956441.

The spelling of 2771064736 in words is "two billion, seven hundred seventy-one million, sixty-four thousand, seven hundred thirty-six".