2538331959744 has 1008 divisors, whose sum is σ = 8881918036992. Its totient is φ = 690533351424.

The previous prime is 2538331959721. The next prime is 2538331959791. The reversal of 2538331959744 is 4479591338352.

2538331959744 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 3 + 31 + 9 + 597 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 11382654417 + ... + 11382654639.

It is an arithmetic number, because the mean of its divisors is an integer number (8811426624).

Almost surely, 2^{2538331959744} is an apocalyptic number.

2538331959744 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 2538331959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440959018496).

2538331959744 is an abundant number, since it is smaller than the sum of its proper divisors (6343586077248).

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

2538331959744 is a wasteful number, since it uses less digits than its factorization.

2538331959744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 474 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 2538331959744 in words is "two trillion, five hundred thirty-eight billion, three hundred thirty-one million, nine hundred fifty-nine thousand, seven hundred forty-four".