2771886960 has 160 divisors (see below), whose sum is σ = 9565102080. Its totient is φ = 737816832.

The previous prime is 2771886937. The next prime is 2771886973. The reversal of 2771886960 is 696881772.

2771886960 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 Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2771886897 and 2771886906.

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, 1863337 + ... + 1864823.

It is an arithmetic number, because the mean of its divisors is an integer number (59781888).

Almost surely, 2^2771886960 is an apocalyptic number.

2771886960 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 2771886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782551040).

2771886960 is an abundant number, since it is smaller than the sum of its proper divisors (6793215120).

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

2771886960 is a wasteful number, since it uses less digits than its factorization.

2771886960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2771886960 is about 52648.7128047780. The cubic root of 2771886960 is about 1404.7267039338.

The spelling of 2771886960 in words is "two billion, seven hundred seventy-one million, eight hundred eighty-six thousand, nine hundred sixty".