2146710720 has 448 divisors, whose sum is σ = 8606186496. Its totient is φ = 440401920.

The previous prime is 2146710707. The next prime is 2146710721. The reversal of 2146710720 is 270176412.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2146710721) 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 63 ways as a sum of consecutive naturals, for example, 8352832 + ... + 8353088.

Almost surely, 2^2146710720 is an apocalyptic number.

2146710720 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 2146710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303093248).

2146710720 is an abundant number, since it is smaller than the sum of its proper divisors (6459475776).

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

2146710720 is a wasteful number, since it uses less digits than its factorization.

2146710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2146710720 is about 46332.6096825983. The cubic root of 2146710720 is about 1290.0043506854.

The spelling of 2146710720 in words is "two billion, one hundred forty-six million, seven hundred ten thousand, seven hundred twenty".