2871916320 has 384 divisors, whose sum is σ = 11441558016. Its totient is φ = 589234176.

The previous prime is 2871916279. The next prime is 2871916331. The reversal of 2871916320 is 236191782.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 1615272 + ... + 1617048.

It is an arithmetic number, because the mean of its divisors is an integer number (29795724).

Almost surely, 2^2871916320 is an apocalyptic number.

2871916320 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 2871916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720779008).

2871916320 is an abundant number, since it is smaller than the sum of its proper divisors (8569641696).

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

2871916320 is a wasteful number, since it uses less digits than its factorization.

2871916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2871916320 is about 53590.2632947441. The cubic root of 2871916320 is about 1421.4249268552.

The spelling of 2871916320 in words is "two billion, eight hundred seventy-one million, nine hundred sixteen thousand, three hundred twenty".