2871126720 has 672 divisors, whose sum is σ = 12530059776. Its totient is φ = 591022080.

The previous prime is 2871126623. The next prime is 2871126737. The reversal of 2871126720 is 276211782.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26832907 + ... + 26833013.

Almost surely, 2^2871126720 is an apocalyptic number.

2871126720 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 2871126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265029888).

2871126720 is an abundant number, since it is smaller than the sum of its proper divisors (9658933056).

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

2871126720 is a wasteful number, since it uses less digits than its factorization.

2871126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2871126720 is about 53582.8957784105. The cubic root of 2871126720 is about 1421.2946468293.

The spelling of 2871126720 in words is "two billion, eight hundred seventy-one million, one hundred twenty-six thousand, seven hundred twenty".