2166242304 has 264 divisors, whose sum is σ = 6375373312. Its totient is φ = 652861440.

The previous prime is 2166242291. The next prime is 2166242321. The reversal of 2166242304 is 4032426612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50377707 + ... + 50377749.

Almost surely, 2^2166242304 is an apocalyptic number.

2166242304 is a gapful number since it is divisible by the number (24) 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 2166242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187686656).

2166242304 is an abundant number, since it is smaller than the sum of its proper divisors (4209131008).

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

2166242304 is a wasteful number, since it uses less digits than its factorization.

2166242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2166242304 is about 46542.9082030764. The cubic root of 2166242304 is about 1293.9048604750.

Adding to 2166242304 its reverse (4032426612), we get a palindrome (6198668916).

The spelling of 2166242304 in words is "two billion, one hundred sixty-six million, two hundred forty-two thousand, three hundred four".