2106115200 has 576 divisors, whose sum is σ = 8892049920. Its totient is φ = 464486400.

The previous prime is 2106115199. The next prime is 2106115217. The reversal of 2106115200 is 25116012.

2106115200 is a `hidden beast` number, since 2 + 1 + 0 + 611 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6249432 + ... + 6249768.

Almost surely, 2^2106115200 is an apocalyptic number.

2106115200 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 2106115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446024960).

2106115200 is an abundant number, since it is smaller than the sum of its proper divisors (6785934720).

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

2106115200 is a wasteful number, since it uses less digits than its factorization.

2106115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2106115200 is about 45892.4307484361. The cubic root of 2106115200 is about 1281.8209758914.

The spelling of 2106115200 in words is "two billion, one hundred six million, one hundred fifteen thousand, two hundred".