2541118410768 has 160 divisors (see below), whose sum is σ = 7564290457600. Its totient is φ = 720043914240.

The previous prime is 2541118410671. The next prime is 2541118410791. The reversal of 2541118410768 is 8670148111452.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 130097163 + ... + 130116693.

It is an arithmetic number, because the mean of its divisors is an integer number (47276815360).

Almost surely, 2^{2541118410768} is an apocalyptic number.

2541118410768 is a gapful number since it is divisible by the number (28) 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 2541118410768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782145228800).

2541118410768 is an abundant number, since it is smaller than the sum of its proper divisors (5023172046832).

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

2541118410768 is a wasteful number, since it uses less digits than its factorization.

2541118410768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22719 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 2541118410768 in words is "two trillion, five hundred forty-one billion, one hundred eighteen million, four hundred ten thousand, seven hundred sixty-eight".