2871736560 has 720 divisors, whose sum is σ = 12874051008. Its totient is φ = 559595520.

The previous prime is 2871736541. The next prime is 2871736591. The reversal of 2871736560 is 656371782.

2871736560 is a `hidden beast` number, since 2 + 87 + 1 + 7 + 3 + 6 + 560 = 666.

2871736560 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 (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10367142 + ... + 10367418.

Almost surely, 2^2871736560 is an apocalyptic number.

2871736560 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 2871736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437025504).

2871736560 is an abundant number, since it is smaller than the sum of its proper divisors (10002314448).

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

2871736560 is a wasteful number, since it uses less digits than its factorization.

2871736560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2871736560 is about 53588.5860981609. The cubic root of 2871736560 is about 1421.3952694595.

The spelling of 2871736560 in words is "two billion, eight hundred seventy-one million, seven hundred thirty-six thousand, five hundred sixty".