2771710656 has 224 divisors, whose sum is σ = 8683922688. Its totient is φ = 769167360.

The previous prime is 2771710639. The next prime is 2771710679. The reversal of 2771710656 is 6560171772.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4310271 + ... + 4310913.

It is an arithmetic number, because the mean of its divisors is an integer number (38767512).

Almost surely, 2^2771710656 is an apocalyptic number.

2771710656 is a gapful number since it is divisible by the number (26) 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 2771710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341961344).

2771710656 is an abundant number, since it is smaller than the sum of its proper divisors (5912212032).

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

2771710656 is a wasteful number, since it uses less digits than its factorization.

2771710656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 2771710656 is about 52647.0384352244. The cubic root of 2771710656 is about 1404.6969210710.

The spelling of 2771710656 in words is "two billion, seven hundred seventy-one million, seven hundred ten thousand, six hundred fifty-six".