2638244001336 has 256 divisors, whose sum is σ = 7345666206720. Its totient is φ = 786078720000.

The previous prime is 2638244001301. The next prime is 2638244001343. The reversal of 2638244001336 is 6331004428362.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108241231 + ... + 108265601.

It is an arithmetic number, because the mean of its divisors is an integer number (28694008620).

Almost surely, 2^{2638244001336} 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 2638244001336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672833103360).

2638244001336 is an abundant number, since it is smaller than the sum of its proper divisors (4707422205384).

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

2638244001336 is a wasteful number, since it uses less digits than its factorization.

2638244001336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24606 (or 24602 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

Adding to 2638244001336 its reverse (6331004428362), we get a palindrome (8969248429698).

The spelling of 2638244001336 in words is "two trillion, six hundred thirty-eight billion, two hundred forty-four million, one thousand, three hundred thirty-six".