2430438048 has 240 divisors, whose sum is σ = 7969389120. Its totient is φ = 722110464.

The previous prime is 2430438011. The next prime is 2430438091. The reversal of 2430438048 is 8408340342.

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

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 39 ways as a sum of consecutive naturals, for example, 835765 + ... + 838667.

It is an arithmetic number, because the mean of its divisors is an integer number (33205788).

Almost surely, 2^2430438048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430438048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984694560).

2430438048 is an abundant number, since it is smaller than the sum of its proper divisors (5538951072).

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

2430438048 is a wasteful number, since it uses less digits than its factorization.

2430438048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2430438048 is about 49299.4731006326. The cubic root of 2430438048 is about 1344.5022039029.

The spelling of 2430438048 in words is "two billion, four hundred thirty million, four hundred thirty-eight thousand, forty-eight".