2771961720 has 128 divisors (see below), whose sum is σ = 9364654080. Its totient is φ = 650304000.

The previous prime is 2771961719. The next prime is 2771961733. The reversal of 2771961720 is 271691772.

2771961720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7050 + ... + 74790.

It is an arithmetic number, because the mean of its divisors is an integer number (73161360).

Almost surely, 2^2771961720 is an apocalyptic number.

2771961720 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 2771961720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682327040).

2771961720 is an abundant number, since it is smaller than the sum of its proper divisors (6592692360).

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

2771961720 is a wasteful number, since it uses less digits than its factorization.

2771961720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67797 (or 67793 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The square root of 2771961720 is about 52649.4227888588. The cubic root of 2771961720 is about 1404.7393326865.

The spelling of 2771961720 in words is "two billion, seven hundred seventy-one million, nine hundred sixty-one thousand, seven hundred twenty".