2120152320 has 810 divisors, whose sum is σ = 9029428254. Its totient is φ = 474439680.

The previous prime is 2120152291. The next prime is 2120152327. The reversal of 2120152320 is 232510212.

2120152320 is a `hidden beast` number, since 2 + 120 + 1 + 523 + 20 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10036224 + 2110116096 = 3168^2 + 45936^2 .

It is a tau number, because it is divible by the number of its divisors (810).

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 = 2120152293 and 2120152302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120152327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 163088634 + ... + 163088646.

Almost surely, 2^2120152320 is an apocalyptic number.

2120152320 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 2120152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514714127).

2120152320 is an abundant number, since it is smaller than the sum of its proper divisors (6909275934).

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

2120152320 is a wasteful number, since it uses less digits than its factorization.

2120152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2120152320 is about 46045.1117926757. Note that the first 3 decimals coincide. The cubic root of 2120152320 is about 1284.6624234999.

Adding to 2120152320 its reverse (232510212), we get a palindrome (2352662532).

The spelling of 2120152320 in words is "two billion, one hundred twenty million, one hundred fifty-two thousand, three hundred twenty".