2871040536 has 288 divisors, whose sum is σ = 9915469200. Its totient is φ = 743662080.

The previous prime is 2871040519. The next prime is 2871040537. The reversal of 2871040536 is 6350401782.

2871040536 is a `hidden beast` number, since 2 + 87 + 1 + 0 + 40 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2871040536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2871040537) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2705446 + ... + 2706506.

Almost surely, 2^2871040536 is an apocalyptic number.

2871040536 is a gapful number since it is divisible by the number (26) 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 2871040536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957734600).

2871040536 is an abundant number, since it is smaller than the sum of its proper divisors (7044428664).

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

2871040536 is a wasteful number, since it uses less digits than its factorization.

2871040536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2871040536 is about 53582.0915605205. The cubic root of 2871040536 is about 1421.2804254573.

The spelling of 2871040536 in words is "two billion, eight hundred seventy-one million, forty thousand, five hundred thirty-six".