2871929040 has 320 divisors, whose sum is σ = 9899366400. Its totient is φ = 685504512.

The previous prime is 2871929033. The next prime is 2871929069. The reversal of 2871929040 is 409291782.

It is a junction number, because it is equal to n+sod(n) for n = 2871928983 and 2871929001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14578222 + ... + 14578418.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2^2871929040 is an apocalyptic number.

2871929040 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 2871929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

2871929040 is an abundant number, since it is smaller than the sum of its proper divisors (7027437360).

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

2871929040 is a wasteful number, since it uses less digits than its factorization.

2871929040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2871929040 is about 53590.3819728876. The cubic root of 2871929040 is about 1421.4270253957.

The spelling of 2871929040 in words is "two billion, eight hundred seventy-one million, nine hundred twenty-nine thousand, forty".