2538055360980 has 288 divisors, whose sum is σ = 8018493170688. Its totient is φ = 649115596800.

The previous prime is 2538055360937. The next prime is 2538055360987. The reversal of 2538055360980 is 890635508352.

2538055360980 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 0 + 553 + 6 + 0 + 9 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538055360987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522123750 + ... + 522128610.

It is an arithmetic number, because the mean of its divisors is an integer number (27841990176).

Almost surely, 2^{2538055360980} is an apocalyptic number.

2538055360980 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 2538055360980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009246585344).

2538055360980 is an abundant number, since it is smaller than the sum of its proper divisors (5480437809708).

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

2538055360980 is a wasteful number, since it uses less digits than its factorization.

2538055360980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 2538055360980 in words is "two trillion, five hundred thirty-eight billion, fifty-five million, three hundred sixty thousand, nine hundred eighty".