2166516300 has 144 divisors (see below), whose sum is σ = 6908168960. Its totient is φ = 520853760.

The previous prime is 2166516283. The next prime is 2166516307. The reversal of 2166516300 is 36156612.

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 (2166516307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161241 + ... + 174159.

Almost surely, 2^2166516300 is an apocalyptic number.

2166516300 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 2166516300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454084480).

2166516300 is an abundant number, since it is smaller than the sum of its proper divisors (4741652660).

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

2166516300 is a wasteful number, since it uses less digits than its factorization.

2166516300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12992 (or 12985 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2166516300 is about 46545.8515874401. The cubic root of 2166516300 is about 1293.9594111300.

The spelling of 2166516300 in words is "two billion, one hundred sixty-six million, five hundred sixteen thousand, three hundred".