2871682632 has 336 divisors, whose sum is σ = 10126404540. Its totient is φ = 756387072.

The previous prime is 2871682609. The next prime is 2871682637. The reversal of 2871682632 is 2362861782.

2871682632 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 6 + 8 + 2 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2304576036 + 567106596 = 48006^2 + 23814^2 .

It is a super-2 number, since 2×2871682632² = 16493122277860894848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2871682637) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3714598 + ... + 3715370.

Almost surely, 2^2871682632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2871682632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063202270).

2871682632 is an abundant number, since it is smaller than the sum of its proper divisors (7254721908).

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

2871682632 is a wasteful number, since it uses less digits than its factorization.

2871682632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 798 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2871682632 is about 53588.0829289498. The cubic root of 2871682632 is about 1421.3863719994.

The spelling of 2871682632 in words is "two billion, eight hundred seventy-one million, six hundred eighty-two thousand, six hundred thirty-two".