2405105300 has 72 divisors (see below), whose sum is σ = 5678787576. Its totient is φ = 878837760.

The previous prime is 2405105273. The next prime is 2405105303. The reversal of 2405105300 is 35015042.

It can be written as a sum of positive squares in 12 ways, for example, as 1894164484 + 510940816 = 43522^2 + 22604^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405105303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116564 + ... + 135636.

Almost surely, 2^2405105300 is an apocalyptic number.

2405105300 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 2405105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839393788).

2405105300 is an abundant number, since it is smaller than the sum of its proper divisors (3273682276).

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

2405105300 is a wasteful number, since it uses less digits than its factorization.

2405105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19197 (or 19190 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2405105300 is about 49041.8729250831. The cubic root of 2405105300 is about 1339.8145767045.

The spelling of 2405105300 in words is "two billion, four hundred five million, one hundred five thousand, three hundred".