2146641120 has 144 divisors (see below), whose sum is σ = 7888974912. Its totient is φ = 528399360.

The previous prime is 2146641053. The next prime is 2146641121. The reversal of 2146641120 is 211466412.

2146641120 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 641 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146641121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38616 + ... + 76055.

It is an arithmetic number, because the mean of its divisors is an integer number (54784548).

Almost surely, 2^2146641120 is an apocalyptic number.

2146641120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146641120 is an abundant number, since it is smaller than the sum of its proper divisors (5742333792).

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

2146641120 is a wasteful number, since it uses less digits than its factorization.

2146641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114705 (or 114694 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2146641120 is about 46331.8585856428. The cubic root of 2146641120 is about 1289.9904091589.

The spelling of 2146641120 in words is "two billion, one hundred forty-six million, six hundred forty-one thousand, one hundred twenty".