2140132120 has 128 divisors (see below), whose sum is σ = 5754470400. Its totient is φ = 700876800.

The previous prime is 2140132081. The next prime is 2140132121. The reversal of 2140132120 is 212310412.

It is a junction number, because it is equal to n+sod(n) for n = 2140132094 and 2140132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140132121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684160 + ... + 687280.

It is an arithmetic number, because the mean of its divisors is an integer number (44956800).

Almost surely, 2^2140132120 is an apocalyptic number.

2140132120 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 2140132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877235200).

2140132120 is an abundant number, since it is smaller than the sum of its proper divisors (3614338280).

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

2140132120 is a wasteful number, since it uses less digits than its factorization.

2140132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2140132120 is about 46261.5620142684. The cubic root of 2140132120 is about 1288.6852618707.

Adding to 2140132120 its reverse (212310412), we get a palindrome (2352442532).

The spelling of 2140132120 in words is "two billion, one hundred forty million, one hundred thirty-two thousand, one hundred twenty".