2840120 has 64 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 1036800.

The previous prime is 2840119. The next prime is 2840161. The reversal of 2840120 is 210482.

2840120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2840120² = 16132563228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28070 + ... + 28170.

2^2840120 is an apocalyptic number.

2840120 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 2840120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).

2840120 is an abundant number, since it is smaller than the sum of its proper divisors (4136680).

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

2840120 is a wasteful number, since it uses less digits than its factorization.

2840120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2840120 is about 1685.2655577089. The cubic root of 2840120 is about 141.6159695566.

The spelling of 2840120 in words is "two million, eight hundred forty thousand, one hundred twenty".