2835120 has 40 divisors (see below), whose sum is σ = 8789616. Its totient is φ = 755968.

The previous prime is 2835113. The next prime is 2835121. The reversal of 2835120 is 215382.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2835121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5667 + ... + 6146.

2^2835120 is an apocalyptic number.

2835120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2835120 is an abundant number, since it is smaller than the sum of its proper divisors (5954496).

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

2835120 is a wasteful number, since it uses less digits than its factorization.

2835120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11829 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2835120 is about 1683.7814585034. The cubic root of 2835120 is about 141.5328162888.

The spelling of 2835120 in words is "two million, eight hundred thirty-five thousand, one hundred twenty".