2871167904 has 192 divisors, whose sum is σ = 9173969280. Its totient is φ = 866396160.

The previous prime is 2871167839. The next prime is 2871167933. The reversal of 2871167904 is 4097611782.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2871167904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3012292 + ... + 3013244.

It is an arithmetic number, because the mean of its divisors is an integer number (47781090).

Almost surely, 2^2871167904 is an apocalyptic number.

2871167904 is a gapful number since it is divisible by the number (24) 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 2871167904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586984640).

2871167904 is an abundant number, since it is smaller than the sum of its proper divisors (6302801376).

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

2871167904 is a wasteful number, since it uses less digits than its factorization.

2871167904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2871167904 is about 53583.2800787708. The cubic root of 2871167904 is about 1421.3014425724.

The spelling of 2871167904 in words is "two billion, eight hundred seventy-one million, one hundred sixty-seven thousand, nine hundred four".