2104171872 has 384 divisors, whose sum is σ = 6967296000. Its totient is φ = 547430400.

The previous prime is 2104171871. The next prime is 2104171913. The reversal of 2104171872 is 2781714012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104171871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10573629 + ... + 10573827.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2^2104171872 is an apocalyptic number.

2104171872 is a gapful number since it is divisible by the number (22) 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 2104171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648000).

2104171872 is an abundant number, since it is smaller than the sum of its proper divisors (4863124128).

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

2104171872 is a wasteful number, since it uses less digits than its factorization.

2104171872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 2104171872 is about 45871.2532202904. The cubic root of 2104171872 is about 1281.4266060202.

Adding to 2104171872 its reverse (2781714012), we get a palindrome (4885885884).

The spelling of 2104171872 in words is "two billion, one hundred four million, one hundred seventy-one thousand, eight hundred seventy-two".