2820160 has 56 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 966144.

The previous prime is 2820131. The next prime is 2820179. The reversal of 2820160 is 610282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 1611 + ... + 2869.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

2^2820160 is an apocalyptic number.

2820160 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 2820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2820160 is an abundant number, since it is smaller than the sum of its proper divisors (4860800).

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

2820160 is a wasteful number, since it uses less digits than its factorization.

2820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2820160 is about 1679.3332010057. Note that the first 3 decimals coincide. The cubic root of 2820160 is about 141.2834363635.

The spelling of 2820160 in words is "two million, eight hundred twenty thousand, one hundred sixty".