2871984420 has 144 divisors (see below), whose sum is σ = 9243980928. Its totient is φ = 719262720.

The previous prime is 2871984391. The next prime is 2871984421. The reversal of 2871984420 is 244891782.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2871984421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2223975 + ... + 2225265.

It is an arithmetic number, because the mean of its divisors is an integer number (64194312).

Almost surely, 2^2871984420 is an apocalyptic number.

2871984420 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 2871984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621990464).

2871984420 is an abundant number, since it is smaller than the sum of its proper divisors (6371996508).

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

2871984420 is a wasteful number, since it uses less digits than its factorization.

2871984420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2871984420 is about 53590.8986675909. The cubic root of 2871984420 is about 1421.4361618938.

The spelling of 2871984420 in words is "two billion, eight hundred seventy-one million, nine hundred eighty-four thousand, four hundred twenty".