2107198800 has 720 divisors, whose sum is σ = 9178856960. Its totient is φ = 453496320.

The previous prime is 2107198777. The next prime is 2107198811. The reversal of 2107198800 is 88917012.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12927519 + ... + 12927681.

Almost surely, 2^2107198800 is an apocalyptic number.

2107198800 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 2107198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589428480).

2107198800 is an abundant number, since it is smaller than the sum of its proper divisors (7071658160).

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

2107198800 is a wasteful number, since it uses less digits than its factorization.

2107198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 2107198800 is about 45904.2350987357. The cubic root of 2107198800 is about 1282.0407712547.

The spelling of 2107198800 in words is "two billion, one hundred seven million, one hundred ninety-eight thousand, eight hundred".