2164702100 has 216 divisors, whose sum is σ = 5541312000. Its totient is φ = 731808000.

The previous prime is 2164702097. The next prime is 2164702121. The reversal of 2164702100 is 12074612.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10877801 + ... + 10877999.

Almost surely, 2^2164702100 is an apocalyptic number.

2164702100 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 2164702100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770656000).

2164702100 is an abundant number, since it is smaller than the sum of its proper divisors (3376609900).

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

2164702100 is a wasteful number, since it uses less digits than its factorization.

2164702100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2164702100 is about 46526.3591956216. The cubic root of 2164702100 is about 1293.5981311772.

Adding to 2164702100 its reverse (12074612), we get a palindrome (2176776712).

The spelling of 2164702100 in words is "two billion, one hundred sixty-four million, seven hundred two thousand, one hundred".