2438436960 has 288 divisors, whose sum is σ = 8783873280. Its totient is φ = 638627328.

The previous prime is 2438436947. The next prime is 2438436971. The reversal of 2438436960 is 696348342.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2293389 + ... + 2294451.

It is an arithmetic number, because the mean of its divisors is an integer number (30499560).

Almost surely, 2^2438436960 is an apocalyptic number.

2438436960 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 2438436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391936640).

2438436960 is an abundant number, since it is smaller than the sum of its proper divisors (6345436320).

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

2438436960 is a wasteful number, since it uses less digits than its factorization.

2438436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2438436960 is about 49380.5321964031. The cubic root of 2438436960 is about 1345.9755704150.

The spelling of 2438436960 in words is "two billion, four hundred thirty-eight million, four hundred thirty-six thousand, nine hundred sixty".