2872872960 has 416 divisors, whose sum is σ = 10190914560. Its totient is φ = 687734784.

The previous prime is 2872872953. The next prime is 2872872973. The reversal of 2872872960 is 692782782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26849227 + ... + 26849333.

Almost surely, 2^2872872960 is an apocalyptic number.

2872872960 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 2872872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095457280).

2872872960 is an abundant number, since it is smaller than the sum of its proper divisors (7318041600).

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

2872872960 is a wasteful number, since it uses less digits than its factorization.

2872872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 2872872960 is about 53599.1880535517. The cubic root of 2872872960 is about 1421.5827356531.

The spelling of 2872872960 in words is "two billion, eight hundred seventy-two million, eight hundred seventy-two thousand, nine hundred sixty".