2871230400 has 252 divisors, whose sum is σ = 10444609032. Its totient is φ = 747694080.

The previous prime is 2871230393. The next prime is 2871230413. The reversal of 2871230400 is 40321782.

2871230400 is a `hidden beast` number, since 28 + 7 + 1 + 230 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 616882 + ... + 621518.

Almost surely, 2^2871230400 is an apocalyptic number.

2871230400 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 2871230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222304516).

2871230400 is an abundant number, since it is smaller than the sum of its proper divisors (7573378632).

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

2871230400 is a wasteful number, since it uses less digits than its factorization.

2871230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2871230400 is about 53583.8632425845. The cubic root of 2871230400 is about 1421.3117548696.

The spelling of 2871230400 in words is "two billion, eight hundred seventy-one million, two hundred thirty thousand, four hundred".