2164243544100 has 720 divisors, whose sum is σ = 7781314464000. Its totient is φ = 515953152000.

The previous prime is 2164243544087. The next prime is 2164243544137. The reversal of 2164243544100 is 14453424612.

2164243544100 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 2 + 4 + 3 + 544 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2456575660 + ... + 2456576540.

It is an arithmetic number, because the mean of its divisors is an integer number (10807381200).

Almost surely, 2^{2164243544100} is an apocalyptic number.

2164243544100 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 2164243544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890657232000).

2164243544100 is an abundant number, since it is smaller than the sum of its proper divisors (5617070919900).

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

2164243544100 is a wasteful number, since it uses less digits than its factorization.

2164243544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 2164243544100 its reverse (14453424612), we get a palindrome (2178696968712).

The spelling of 2164243544100 in words is "two trillion, one hundred sixty-four billion, two hundred forty-three million, five hundred forty-four thousand, one hundred".