2818120 has 32 divisors (see below), whose sum is σ = 6480000. Its totient is φ = 1102528.

The previous prime is 2818111. The next prime is 2818147. The reversal of 2818120 is 218182.

It is a junction number, because it is equal to n+sod(n) for n = 2818091 and 2818100.

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, 1131 + ... + 2629.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

2^2818120 is an apocalyptic number.

2818120 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 2818120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240000).

2818120 is an abundant number, since it is smaller than the sum of its proper divisors (3661880).

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

2818120 is a wasteful number, since it uses less digits than its factorization.

2818120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 2818120 is about 1678.7257071958. The cubic root of 2818120 is about 141.2493617326.

The spelling of 2818120 in words is "two million, eight hundred eighteen thousand, one hundred twenty".