2820352 has 36 divisors (see below), whose sum is σ = 5886720. Its totient is φ = 1346048.

The previous prime is 2820347. The next prime is 2820359. The reversal of 2820352 is 2530282.

It is a d-powerful number, because it can be written as 2¹⁰ + 8⁵ + 2¹⁶ + 0 + 3¹³ + 5⁷ + 2²⁰ .

It is not an unprimeable number, because it can be changed into a prime (2820359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5649 + ... + 6127.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

2^2820352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943360).

2820352 is an abundant number, since it is smaller than the sum of its proper divisors (3066368).

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

2820352 is an equidigital number, since it uses as much as digits as its factorization.

2820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2820352 is about 1679.3903655791. The cubic root of 2820352 is about 141.2866425414.

The spelling of 2820352 in words is "two million, eight hundred twenty thousand, three hundred fifty-two".