2816160 has 48 divisors (see below), whose sum is σ = 8872416. Its totient is φ = 750848.

The previous prime is 2816147. The next prime is 2816171. The reversal of 2816160 is 616182.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2816160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2454 + ... + 3413.

It is an arithmetic number, because the mean of its divisors is an integer number (184842).

2^2816160 is an apocalyptic number.

2816160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2816160 is an abundant number, since it is smaller than the sum of its proper divisors (6056256).

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

2816160 is a wasteful number, since it uses less digits than its factorization.

2816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2816160 is about 1678.1418295245. The cubic root of 2816160 is about 141.2166078687.

It can be divided in two parts, 281 and 6160, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 2816160 in words is "two million, eight hundred sixteen thousand, one hundred sixty".