2120180832 has 288 divisors, whose sum is σ = 7797613824. Its totient is φ = 550540800.

The previous prime is 2120180819. The next prime is 2120180837. The reversal of 2120180832 is 2380810212.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2120180796 and 2120180805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120180837) 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 47 ways as a sum of consecutive naturals, for example, 596982 + ... + 600522.

It is an arithmetic number, because the mean of its divisors is an integer number (27075048).

Almost surely, 2^2120180832 is an apocalyptic number.

2120180832 is a gapful number since it is divisible by the number (22) 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 2120180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898806912).

2120180832 is an abundant number, since it is smaller than the sum of its proper divisors (5677432992).

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

2120180832 is a wasteful number, since it uses less digits than its factorization.

2120180832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2120180832 is about 46045.4214010470. The cubic root of 2120180832 is about 1284.6681822262.

The spelling of 2120180832 in words is "two billion, one hundred twenty million, one hundred eighty thousand, eight hundred thirty-two".