2835320 has 32 divisors (see below), whose sum is σ = 6473520. Its totient is φ = 1117440.

The previous prime is 2835319. The next prime is 2835323. The reversal of 2835320 is 235382.

2835320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2435 + ... + 3405.

2^2835320 is an apocalyptic number.

2835320 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 2835320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236760).

2835320 is an abundant number, since it is smaller than the sum of its proper divisors (3638200).

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

2835320 is a wasteful number, since it uses less digits than its factorization.

2835320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2835320 is about 1683.8408475863. The cubic root of 2835320 is about 141.5361442958.

The spelling of 2835320 in words is "two million, eight hundred thirty-five thousand, three hundred twenty".