2872160 has 48 divisors (see below), whose sum is σ = 7030800. Its totient is φ = 1107456.

The previous prime is 2872153. The next prime is 2872183. The reversal of 2872160 is 612782.

2872160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4331 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

2^2872160 is an apocalyptic number.

2872160 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 2872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515400).

2872160 is an abundant number, since it is smaller than the sum of its proper divisors (4158640).

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

2872160 is a wasteful number, since it uses less digits than its factorization.

2872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2872160 is about 1694.7448185494. The cubic root of 2872160 is about 142.1465128007.

The spelling of 2872160 in words is "two million, eight hundred seventy-two thousand, one hundred sixty".