2102619200 has 168 divisors, whose sum is σ = 5682508320. Its totient is φ = 759398400.

The previous prime is 2102619199. The next prime is 2102619217. The reversal of 2102619200 is 29162012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396491 + ... + 3397109.

Almost surely, 2^2102619200 is an apocalyptic number.

2102619200 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 2102619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841254160).

2102619200 is an abundant number, since it is smaller than the sum of its proper divisors (3579889120).

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

2102619200 is a wasteful number, since it uses less digits than its factorization.

2102619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2102619200 is about 45854.3258591815. The cubic root of 2102619200 is about 1281.1113395055. Note that the first 3 decimals are identical.

The spelling of 2102619200 in words is "two billion, one hundred two million, six hundred nineteen thousand, two hundred".