2413432200 has 384 divisors, whose sum is σ = 8436960000. Its totient is φ = 567705600.

The previous prime is 2413432199. The next prime is 2413432201. The reversal of 2413432200 is 22343142.

It is an interprime number because it is at equal distance from previous prime (2413432199) and next prime (2413432201).

It is not an unprimeable number, because it can be changed into a prime (2413432201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12127701 + ... + 12127899.

It is an arithmetic number, because the mean of its divisors is an integer number (21971250).

Almost surely, 2^2413432200 is an apocalyptic number.

2413432200 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 2413432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480000).

2413432200 is an abundant number, since it is smaller than the sum of its proper divisors (6023527800).

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

2413432200 is a wasteful number, since it uses less digits than its factorization.

2413432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2413432200 is about 49126.6953905919. The cubic root of 2413432200 is about 1341.3590207177.

Adding to 2413432200 its reverse (22343142), we get a palindrome (2435775342).

The spelling of 2413432200 in words is "two billion, four hundred thirteen million, four hundred thirty-two thousand, two hundred".