2812160 has 72 divisors (see below), whose sum is σ = 7297080. Its totient is φ = 1038336.

The previous prime is 2812153. The next prime is 2812169. The reversal of 2812160 is 612182.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 1763584 = 1024^2 + 1328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216314 + ... + 216326.

2^2812160 is an apocalyptic number.

2812160 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 2812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648540).

2812160 is an abundant number, since it is smaller than the sum of its proper divisors (4484920).

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

2812160 is an frugal number, since it uses more digits than its factorization.

2812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2812160 is about 1676.9496116461. The cubic root of 2812160 is about 141.1497160629.

2812160 divided by its sum of digits (20) gives a cube (140608 = 52³).

The spelling of 2812160 in words is "two million, eight hundred twelve thousand, one hundred sixty".