2120840 has 32 divisors (see below), whose sum is σ = 4904280. Its totient is φ = 824832.

The previous prime is 2120827. The next prime is 2120843. The reversal of 2120840 is 480212.

It can be written as a sum of positive squares in 4 ways, for example, as 2114116 + 6724 = 1454^2 + 82^2 .

It is not an unprimeable number, because it can be changed into a prime (2120843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764 + ... + 2196.

2^2120840 is an apocalyptic number.

2120840 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 2120840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452140).

2120840 is an abundant number, since it is smaller than the sum of its proper divisors (2783440).

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

2120840 is a wasteful number, since it uses less digits than its factorization.

2120840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1477 counting only the distinct ones).

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

The square root of 2120840 is about 1456.3104064725. The cubic root of 2120840 is about 128.4801303641.

The spelling of 2120840 in words is "two million, one hundred twenty thousand, eight hundred forty".