2541097546400 has 432 divisors, whose sum is σ = 7303337993952. Its totient is φ = 860767488000.

The previous prime is 2541097546397. The next prime is 2541097546439. The reversal of 2541097546400 is 46457901452.

2541097546400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2395001870 + ... + 2395002930.

It is an arithmetic number, because the mean of its divisors is an integer number (16905874986).

Almost surely, 2^{2541097546400} is an apocalyptic number.

2541097546400 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 2541097546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651668996976).

2541097546400 is an abundant number, since it is smaller than the sum of its proper divisors (4762240447552).

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

2541097546400 is a wasteful number, since it uses less digits than its factorization.

2541097546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 2541097546400 in words is "two trillion, five hundred forty-one billion, ninety-seven million, five hundred forty-six thousand, four hundred".