2134320120 has 192 divisors, whose sum is σ = 7057290240. Its totient is φ = 559353600.

The previous prime is 2134320109. The next prime is 2134320127. The reversal of 2134320120 is 210234312.

2134320120 is a `hidden beast` number, since 213 + 432 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2134320093 and 2134320102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134320127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7875585 + ... + 7875855.

It is an arithmetic number, because the mean of its divisors is an integer number (36756720).

Almost surely, 2^2134320120 is an apocalyptic number.

2134320120 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 2134320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528645120).

2134320120 is an abundant number, since it is smaller than the sum of its proper divisors (4922970120).

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

2134320120 is a wasteful number, since it uses less digits than its factorization.

2134320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2134320120 is about 46198.7025791851. The cubic root of 2134320120 is about 1287.5176347225.

Adding to 2134320120 its reverse (210234312), we get a palindrome (2344554432).

The spelling of 2134320120 in words is "two billion, one hundred thirty-four million, three hundred twenty thousand, one hundred twenty".