2140442120 has 128 divisors (see below), whose sum is σ = 5356108800. Its totient is φ = 766156800.

The previous prime is 2140442081. The next prime is 2140442141. The reversal of 2140442120 is 212440412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2140442092 and 2140442101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242860 + ... + 1244580.

It is an arithmetic number, because the mean of its divisors is an integer number (41844600).

Almost surely, 2^2140442120 is an apocalyptic number.

2140442120 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 2140442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678054400).

2140442120 is an abundant number, since it is smaller than the sum of its proper divisors (3215666680).

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

2140442120 is a wasteful number, since it uses less digits than its factorization.

2140442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2140442120 is about 46264.9124067041. The cubic root of 2140442120 is about 1288.7474812605.

Adding to 2140442120 its reverse (212440412), we get a palindrome (2352882532).

The spelling of 2140442120 in words is "two billion, one hundred forty million, four hundred forty-two thousand, one hundred twenty".