2405251300 has 72 divisors (see below), whose sum is σ = 5501601000. Its totient is φ = 911339520.

The previous prime is 2405251259. The next prime is 2405251327. The reversal of 2405251300 is 31525042.

It can be written as a sum of positive squares in 12 ways, for example, as 744525796 + 1660725504 = 27286^2 + 40752^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145876 + ... + 161524.

It is an arithmetic number, because the mean of its divisors is an integer number (76411125).

Almost surely, 2^2405251300 is an apocalyptic number.

2405251300 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 2405251300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750800500).

2405251300 is an abundant number, since it is smaller than the sum of its proper divisors (3096349700).

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

2405251300 is a wasteful number, since it uses less digits than its factorization.

2405251300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15745 (or 15738 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2405251300 is about 49043.3614263949. The cubic root of 2405251300 is about 1339.8416869478.

Adding to 2405251300 its reverse (31525042), we get a palindrome (2436776342).

The spelling of 2405251300 in words is "two billion, four hundred five million, two hundred fifty-one thousand, three hundred".