2162820 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 501760.

The previous prime is 2162813. The next prime is 2162821. The reversal of 2162820 is 282612.

2162820 = T₉ + T₁₀ + ... + T₂₃₄.

It is a super-3 number, since 3×2162820³ = 30351655589933304000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2162821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19084 + ... + 19196.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2162820 is an apocalyptic number.

2162820 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 2162820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2162820 is an abundant number, since it is smaller than the sum of its proper divisors (4731900).

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

2162820 is a wasteful number, since it uses less digits than its factorization.

2162820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2162820 is about 1470.6529162246. The cubic root of 2162820 is about 129.3223116220.

The spelling of 2162820 in words is "two million, one hundred sixty-two thousand, eight hundred twenty".