2541613000800 has 144 divisors (see below), whose sum is σ = 8396427719232. Its totient is φ = 667647552000.

The previous prime is 2541613000753. The next prime is 2541613000907. The reversal of 2541613000800 is 80003161452.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 7742226 + ... + 8063825.

It is an arithmetic number, because the mean of its divisors is an integer number (58308525828).

Almost surely, 2^{2541613000800} is an apocalyptic number.

2541613000800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541613000800 is an abundant number, since it is smaller than the sum of its proper divisors (5854814718432).

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

2541613000800 is a wasteful number, since it uses less digits than its factorization.

2541613000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15806141 (or 15806128 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 2541613000800 in words is "two trillion, five hundred forty-one billion, six hundred thirteen million, eight hundred", and thus it is an aban number.