2413324400 has 60 divisors (see below), whose sum is σ = 5815541472. Its totient is φ = 962411520.

The previous prime is 2413324399. The next prime is 2413324409. The reversal of 2413324400 is 44233142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413324409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125849 + ... + 143751.

Almost surely, 2^2413324400 is an apocalyptic number.

2413324400 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 2413324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907770736).

2413324400 is an abundant number, since it is smaller than the sum of its proper divisors (3402217072).

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

2413324400 is a wasteful number, since it uses less digits than its factorization.

2413324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18258 (or 18247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2413324400 is about 49125.5982151872. The cubic root of 2413324400 is about 1341.3390490696.

Adding to 2413324400 its reverse (44233142), we get a palindrome (2457557542).

The spelling of 2413324400 in words is "two billion, four hundred thirteen million, three hundred twenty-four thousand, four hundred".