2541145427268 has 192 divisors, whose sum is σ = 7220963635200. Its totient is φ = 679367208960.

The previous prime is 2541145427237. The next prime is 2541145427269. The reversal of 2541145427268 is 8627245411452.

It is a self number, because there is not a number n which added to its sum of digits gives 2541145427268.

It is not an unprimeable number, because it can be changed into a prime (2541145427269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138767833 + ... + 138786143.

It is an arithmetic number, because the mean of its divisors is an integer number (37609185600).

Almost surely, 2^{2541145427268} is an apocalyptic number.

2541145427268 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 2541145427268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610481817600).

2541145427268 is an abundant number, since it is smaller than the sum of its proper divisors (4679818207932).

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

2541145427268 is a wasteful number, since it uses less digits than its factorization.

2541145427268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19410 (or 19408 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 51.

The spelling of 2541145427268 in words is "two trillion, five hundred forty-one billion, one hundred forty-five million, four hundred twenty-seven thousand, two hundred sixty-eight".