2406105200 has 120 divisors (see below), whose sum is σ = 6144941520. Its totient is φ = 902246400.

The previous prime is 2406105179. The next prime is 2406105211. The reversal of 2406105200 is 25016042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2250266 + ... + 2251334.

It is an arithmetic number, because the mean of its divisors is an integer number (51207846).

Almost surely, 2^2406105200 is an apocalyptic number.

2406105200 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 2406105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072470760).

2406105200 is an abundant number, since it is smaller than the sum of its proper divisors (3738836320).

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

2406105200 is a wasteful number, since it uses less digits than its factorization.

2406105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2406105200 is about 49052.0662154001. The cubic root of 2406105200 is about 1340.0002227667. Note that the first 3 decimals are identical.

The spelling of 2406105200 in words is "two billion, four hundred six million, one hundred five thousand, two hundred".