2140211120 has 80 divisors (see below), whose sum is σ = 5057592960. Its totient is φ = 842130432.

The previous prime is 2140211081. The next prime is 2140211131. The reversal of 2140211120 is 211120412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2140211095 and 2140211104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2508614 + ... + 2509466.

It is an arithmetic number, because the mean of its divisors is an integer number (63219912).

Almost surely, 2^2140211120 is an apocalyptic number.

2140211120 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 2140211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528796480).

2140211120 is an abundant number, since it is smaller than the sum of its proper divisors (2917381840).

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

2140211120 is a wasteful number, since it uses less digits than its factorization.

2140211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2140211120 is about 46262.4158469918. The cubic root of 2140211120 is about 1288.7011183501.

Adding to 2140211120 its reverse (211120412), we get a palindrome (2351331532).

The spelling of 2140211120 in words is "two billion, one hundred forty million, two hundred eleven thousand, one hundred twenty".