2538238943520 has 768 divisors, whose sum is σ = 10521004032000. Its totient is φ = 559480836096.

The previous prime is 2538238943509. The next prime is 2538238943561. The reversal of 2538238943520 is 253498328352.

2538238943520 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 23 + 8 + 94 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 102712926 + ... + 102737634.

It is an arithmetic number, because the mean of its divisors is an integer number (13699224000).

Almost surely, 2^{2538238943520} is an apocalyptic number.

2538238943520 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 2538238943520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260502016000).

2538238943520 is an abundant number, since it is smaller than the sum of its proper divisors (7982765088480).

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

2538238943520 is a wasteful number, since it uses less digits than its factorization.

2538238943520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24862 (or 24848 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2538238943520 in words is "two trillion, five hundred thirty-eight billion, two hundred thirty-eight million, nine hundred forty-three thousand, five hundred twenty".