2146716000 has 768 divisors, whose sum is σ = 9246182400. Its totient is φ = 476928000.

The previous prime is 2146715959. The next prime is 2146716049. The reversal of 2146716000 is 6176412.

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

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 127 ways as a sum of consecutive naturals, for example, 15443931 + ... + 15444069.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^2146716000 is an apocalyptic number.

2146716000 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 2146716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

2146716000 is an abundant number, since it is smaller than the sum of its proper divisors (7099466400).

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

2146716000 is a wasteful number, since it uses less digits than its factorization.

2146716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2146716000 is about 46332.6666618704. Note that the first 5 decimals coincide. The cubic root of 2146716000 is about 1290.0054083062.

The spelling of 2146716000 in words is "two billion, one hundred forty-six million, seven hundred sixteen thousand".