2871248688 has 720 divisors, whose sum is σ = 11280528000. Its totient is φ = 694552320.

The previous prime is 2871248647. The next prime is 2871248693. The reversal of 2871248688 is 8868421782.

2871248688 is a `hidden beast` number, since 2 + 87 + 1 + 2 + 486 + 88 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 48665203 + ... + 48665261.

It is an arithmetic number, because the mean of its divisors is an integer number (15667400).

Almost surely, 2^2871248688 is an apocalyptic number.

2871248688 is a gapful number since it is divisible by the number (28) 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 2871248688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640264000).

2871248688 is an abundant number, since it is smaller than the sum of its proper divisors (8409279312).

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

2871248688 is a wasteful number, since it uses less digits than its factorization.

2871248688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 2871248688 is about 53584.0338907029. The cubic root of 2871248688 is about 1421.3147724951.

The spelling of 2871248688 in words is "two billion, eight hundred seventy-one million, two hundred forty-eight thousand, six hundred eighty-eight".