2541323393280 has 1728 divisors, whose sum is σ = 10785695477760. Its totient is φ = 571875655680.

The previous prime is 2541323393243. The next prime is 2541323393299. The reversal of 2541323393280 is 823933231452.

2541323393280 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 32 + 339 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 13305357985 + ... + 13305358175.

It is an arithmetic number, because the mean of its divisors is an integer number (6241721920).

Almost surely, 2^{2541323393280} is an apocalyptic number.

2541323393280 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 2541323393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392847738880).

2541323393280 is an abundant number, since it is smaller than the sum of its proper divisors (8244372084480).

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

2541323393280 is an frugal number, since it uses more digits than its factorization.

2541323393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2541323393280 in words is "two trillion, five hundred forty-one billion, three hundred twenty-three million, three hundred ninety-three thousand, two hundred eighty".