2102904115200 has 936 divisors, whose sum is σ = 8927732352448. Its totient is φ = 480623984640.

The previous prime is 2102904115159. The next prime is 2102904115201. The reversal of 2102904115200 is 25114092012.

2102904115200 is a `hidden beast` number, since 2 + 10 + 2 + 90 + 41 + 1 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102904115201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174176364 + ... + 174188436.

Almost surely, 2^{2102904115200} is an apocalyptic number.

2102904115200 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 2102904115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463866176224).

2102904115200 is an abundant number, since it is smaller than the sum of its proper divisors (6824828237248).

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

2102904115200 is an equidigital number, since it uses as much as digits as its factorization.

2102904115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12129 (or 12090 counting only the distinct ones).

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

The spelling of 2102904115200 in words is "two trillion, one hundred two billion, nine hundred four million, one hundred fifteen thousand, two hundred".