2538725777280 has 512 divisors, whose sum is σ = 11209963852800. Its totient is φ = 527527157760.

The previous prime is 2538725777233. The next prime is 2538725777281. The reversal of 2538725777280 is 827775278352.

2538725777280 is a `hidden beast` number, since 2 + 5 + 38 + 7 + 2 + 577 + 7 + 28 + 0 = 666.

2538725777280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538725777281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376554 + ... + 2284566.

It is an arithmetic number, because the mean of its divisors is an integer number (21894460650).

Almost surely, 2^{2538725777280} is an apocalyptic number.

2538725777280 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 2538725777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604981926400).

2538725777280 is an abundant number, since it is smaller than the sum of its proper divisors (8671238075520).

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

2538725777280 is a wasteful number, since it uses less digits than its factorization.

2538725777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908059 (or 1908041 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 63.

The spelling of 2538725777280 in words is "two trillion, five hundred thirty-eight billion, seven hundred twenty-five million, seven hundred seventy-seven thousand, two hundred eighty".