2120347296 has 144 divisors (see below), whose sum is σ = 6289920000. Its totient is φ = 676698624.

The previous prime is 2120347289. The next prime is 2120347301. The reversal of 2120347296 is 6927430212.

2120347296 is a `hidden beast` number, since 2 + 1 + 20 + 347 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2120347296.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1059705 + ... + 1061703.

It is an arithmetic number, because the mean of its divisors is an integer number (43680000).

Almost surely, 2^2120347296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120347296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960000).

2120347296 is an abundant number, since it is smaller than the sum of its proper divisors (4169572704).

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

2120347296 is a wasteful number, since it uses less digits than its factorization.

2120347296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2120347296 is about 46047.2289720022. The cubic root of 2120347296 is about 1284.7018028502.

The spelling of 2120347296 in words is "two billion, one hundred twenty million, three hundred forty-seven thousand, two hundred ninety-six".