2406384000 has 384 divisors, whose sum is σ = 9159583680. Its totient is φ = 603340800.

The previous prime is 2406383957. The next prime is 2406384031. The reversal of 2406384000 is 4836042.

2406384000 is a `hidden beast` number, since 24 + 0 + 638 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447509 + ... + 2448491.

Almost surely, 2^2406384000 is an apocalyptic number.

2406384000 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 2406384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579791840).

2406384000 is an abundant number, since it is smaller than the sum of its proper divisors (6753199680).

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

2406384000 is a wasteful number, since it uses less digits than its factorization.

2406384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1010 counting only the distinct ones).

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

The square root of 2406384000 is about 49054.9080113295. The cubic root of 2406384000 is about 1340.0519768953.

The spelling of 2406384000 in words is "two billion, four hundred six million, three hundred eighty-four thousand".