2871768960 has 384 divisors, whose sum is σ = 10568750400. Its totient is φ = 716931072.

The previous prime is 2871768923. The next prime is 2871768961. The reversal of 2871768960 is 698671782.

2871768960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2871768897 and 2871768906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2871768961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7021236 + ... + 7021644.

Almost surely, 2^2871768960 is an apocalyptic number.

2871768960 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 2871768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284375200).

2871768960 is an abundant number, since it is smaller than the sum of its proper divisors (7696981440).

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

2871768960 is a wasteful number, since it uses less digits than its factorization.

2871768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 495 counting only the distinct ones).

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

The square root of 2871768960 is about 53588.8884004884. Note that the first 3 decimals coincide. The cubic root of 2871768960 is about 1421.4006150094.

The spelling of 2871768960 in words is "two billion, eight hundred seventy-one million, seven hundred sixty-eight thousand, nine hundred sixty".