2406638304 has 480 divisors, whose sum is σ = 8664606720. Its totient is φ = 640493568.

The previous prime is 2406638293. The next prime is 2406638309. The reversal of 2406638304 is 4038366042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406638309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30463737 + ... + 30463815.

It is an arithmetic number, because the mean of its divisors is an integer number (18051264).

Almost surely, 2^2406638304 is an apocalyptic number.

2406638304 is a gapful number since it is divisible by the number (24) 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 2406638304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332303360).

2406638304 is an abundant number, since it is smaller than the sum of its proper divisors (6257968416).

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

2406638304 is a wasteful number, since it uses less digits than its factorization.

2406638304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2406638304 is about 49057.4999770677. The cubic root of 2406638304 is about 1340.0991803028.

The spelling of 2406638304 in words is "two billion, four hundred six million, six hundred thirty-eight thousand, three hundred four".