2541143125664 has 144 divisors (see below), whose sum is σ = 6257435768640. Its totient is φ = 1003495034880.

The previous prime is 2541143125663. The next prime is 2541143125687. The reversal of 2541143125664 is 4665213411452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2541143125663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245084 + ... + 2267675.

It is an arithmetic number, because the mean of its divisors is an integer number (43454415060).

Almost surely, 2^{2541143125664} is an apocalyptic number.

It is an amenable number.

2541143125664 is an abundant number, since it is smaller than the sum of its proper divisors (3716292642976).

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

2541143125664 is a wasteful number, since it uses less digits than its factorization.

2541143125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512823 (or 2512802 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The spelling of 2541143125664 in words is "two trillion, five hundred forty-one billion, one hundred forty-three million, one hundred twenty-five thousand, six hundred sixty-four".