2166716970 has 96 divisors (see below), whose sum is σ = 6166480320. Its totient is φ = 523480320.

The previous prime is 2166716957. The next prime is 2166716971. The reversal of 2166716970 is 796176612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2166716971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300366 + ... + 307494.

It is an arithmetic number, because the mean of its divisors is an integer number (64234170).

Almost surely, 2^2166716970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166716970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083240160).

2166716970 is an abundant number, since it is smaller than the sum of its proper divisors (3999763350).

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

2166716970 is a wasteful number, since it uses less digits than its factorization.

2166716970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2166716970 is about 46548.0071539051. The cubic root of 2166716970 is about 1293.9993601823. Note that the first 3 decimals are identical.

The spelling of 2166716970 in words is "two billion, one hundred sixty-six million, seven hundred sixteen thousand, nine hundred seventy".