2871086400 has 756 divisors, whose sum is σ = 12824525532. Its totient is φ = 603832320.

The previous prime is 2871086399. The next prime is 2871086419. The reversal of 2871086400 is 46801782.

2871086400 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 0 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1163082816 + 1708003584 = 34104^2 + 41328^2 .

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9172644 + ... + 9172956.

Almost surely, 2^2871086400 is an apocalyptic number.

2871086400 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 2871086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412262766).

2871086400 is an abundant number, since it is smaller than the sum of its proper divisors (9953439132).

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

2871086400 is a wasteful number, since it uses less digits than its factorization.

2871086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2871086400 is about 53582.5195376253. The cubic root of 2871086400 is about 1421.2879935913.

The spelling of 2871086400 in words is "two billion, eight hundred seventy-one million, eighty-six thousand, four hundred".