2146196736 has 360 divisors, whose sum is σ = 6855821280. Its totient is φ = 666537984.

The previous prime is 2146196669. The next prime is 2146196771. The reversal of 2146196736 is 6376916412.

2146196736 is a `hidden beast` number, since 21 + 4 + 619 + 6 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2146196691 and 2146196700.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 25857751 + ... + 25857833.

It is an arithmetic number, because the mean of its divisors is an integer number (19043948).

Almost surely, 2^2146196736 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 2146196736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427910640).

2146196736 is an abundant number, since it is smaller than the sum of its proper divisors (4709624544).

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

2146196736 is an equidigital number, since it uses as much as digits as its factorization.

2146196736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2146196736 is about 46327.0626739922. The cubic root of 2146196736 is about 1289.9013878108.

The spelling of 2146196736 in words is "two billion, one hundred forty-six million, one hundred ninety-six thousand, seven hundred thirty-six".