2113516800 has 432 divisors, whose sum is σ = 7897688960. Its totient is φ = 559872000.

The previous prime is 2113516747. The next prime is 2113516819. The reversal of 2113516800 is 86153112.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13996725 + ... + 13996875.

Almost surely, 2^2113516800 is an apocalyptic number.

2113516800 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 2113516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948844480).

2113516800 is an abundant number, since it is smaller than the sum of its proper divisors (5784172160).

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

2113516800 is an frugal number, since it uses more digits than its factorization.

2113516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2113516800 is about 45973.0007721924. Note that the first 3 decimals coincide. The cubic root of 2113516800 is about 1283.3208042104.

Adding to 2113516800 its reverse (86153112), we get a palindrome (2199669912).

The spelling of 2113516800 in words is "two billion, one hundred thirteen million, five hundred sixteen thousand, eight hundred".