2543364144 has 80 divisors (see below), whose sum is σ = 7367509600. Its totient is φ = 839994624.

The previous prime is 2543364139. The next prime is 2543364179. The reversal of 2543364144 is 4414633452.

2543364144 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 3 + 641 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2543364099 and 2543364108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20082 + ... + 74094.

It is an arithmetic number, because the mean of its divisors is an integer number (92093870).

Almost surely, 2^2543364144 is an apocalyptic number.

2543364144 is a gapful number since it is divisible by the number (24) 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 2543364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683754800).

2543364144 is an abundant number, since it is smaller than the sum of its proper divisors (4824145456).

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

2543364144 is a wasteful number, since it uses less digits than its factorization.

2543364144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54139 (or 54127 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2543364144 is about 50431.7771251420. Note that the first 3 decimals coincide. The cubic root of 2543364144 is about 1365.0110951882.

Adding to 2543364144 its reverse (4414633452), we get a palindrome (6957997596).

The spelling of 2543364144 in words is "two billion, five hundred forty-three million, three hundred sixty-four thousand, one hundred forty-four".