2871932400 has 360 divisors, whose sum is σ = 10653630624. Its totient is φ = 713932800.

The previous prime is 2871932377. The next prime is 2871932419. The reversal of 2871932400 is 42391782.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 10220260 + ... + 10220540.

Almost surely, 2^2871932400 is an apocalyptic number.

2871932400 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 2871932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326815312).

2871932400 is an abundant number, since it is smaller than the sum of its proper divisors (7781698224).

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

2871932400 is a wasteful number, since it uses less digits than its factorization.

2871932400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2871932400 is about 53590.4133217873. The cubic root of 2871932400 is about 1421.4275797261.

The spelling of 2871932400 in words is "two billion, eight hundred seventy-one million, nine hundred thirty-two thousand, four hundred".