2106691200 has 384 divisors, whose sum is σ = 7930296000. Its totient is φ = 545771520.

The previous prime is 2106691193. The next prime is 2106691231. The reversal of 2106691200 is 21966012.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3196471 + ... + 3197129.

Almost surely, 2^2106691200 is an apocalyptic number.

2106691200 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 2106691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965148000).

2106691200 is an abundant number, since it is smaller than the sum of its proper divisors (5823604800).

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

2106691200 is a wasteful number, since it uses less digits than its factorization.

2106691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2106691200 is about 45898.7058641091. The cubic root of 2106691200 is about 1281.9378200197.

The spelling of 2106691200 in words is "two billion, one hundred six million, six hundred ninety-one thousand, two hundred".