2771688920 has 576 divisors, whose sum is σ = 9169977600. Its totient is φ = 745113600.

The previous prime is 2771688917. The next prime is 2771688923. The reversal of 2771688920 is 298861772.

2771688920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2771688917) and next prime (2771688923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771688923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89409305 + ... + 89409335.

It is an arithmetic number, because the mean of its divisors is an integer number (15920100).

Almost surely, 2^2771688920 is an apocalyptic number.

2771688920 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 2771688920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584988800).

2771688920 is an abundant number, since it is smaller than the sum of its proper divisors (6398288680).

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

2771688920 is a wasteful number, since it uses less digits than its factorization.

2771688920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 2771688920 is about 52646.8320034549. The cubic root of 2771688920 is about 1404.6932491422.

The spelling of 2771688920 in words is "two billion, seven hundred seventy-one million, six hundred eighty-eight thousand, nine hundred twenty".