2120240 has 40 divisors (see below), whose sum is σ = 5222880. Its totient is φ = 797696.

The previous prime is 2120231. The next prime is 2120243. The reversal of 2120240 is 420212.

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 (2120243) 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, 581 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

2^2120240 is an apocalyptic number.

2120240 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 2120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611440).

2120240 is an abundant number, since it is smaller than the sum of its proper divisors (3102640).

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

2120240 is a wasteful number, since it uses less digits than its factorization.

2120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2120240 is about 1456.1043918621. The cubic root of 2120240 is about 128.4680132550.

Adding to 2120240 its reverse (420212), we get a palindrome (2540452).

The spelling of 2120240 in words is "two million, one hundred twenty thousand, two hundred forty".