2413382400 has 648 divisors, whose sum is σ = 10171442736. Its totient is φ = 538214400.

The previous prime is 2413382393. The next prime is 2413382423. The reversal of 2413382400 is 42833142.

2413382400 is a `hidden beast` number, since 2 + 413 + 3 + 8 + 240 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8236654 + ... + 8236946.

Almost surely, 2^2413382400 is an apocalyptic number.

2413382400 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 2413382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085721368).

2413382400 is an abundant number, since it is smaller than the sum of its proper divisors (7758060336).

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

2413382400 is a wasteful number, since it uses less digits than its factorization.

2413382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2413382400 is about 49126.1885352405. The cubic root of 2413382400 is about 1341.3497945571.

The spelling of 2413382400 in words is "two billion, four hundred thirteen million, three hundred eighty-two thousand, four hundred".