2871682800 has 360 divisors, whose sum is σ = 11107253376. Its totient is φ = 621181440.

The previous prime is 2871682777. The next prime is 2871682837. The reversal of 2871682800 is 82861782.

2871682800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3031927 + ... + 3032873.

Almost surely, 2^2871682800 is an apocalyptic number.

2871682800 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 2871682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553626688).

2871682800 is an abundant number, since it is smaller than the sum of its proper divisors (8235570576).

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

2871682800 is a wasteful number, since it uses less digits than its factorization.

2871682800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 2871682800 is about 53588.0844964625. The cubic root of 2871682800 is about 1421.3863997175.

The spelling of 2871682800 in words is "two billion, eight hundred seventy-one million, six hundred eighty-two thousand, eight hundred".