2543386624 has 51 divisors (see below), whose sum is σ = 5112686497. Its totient is φ = 1265238016.

The previous prime is 2543386613. The next prime is 2543386627. The reversal of 2543386624 is 4266833452.

It is a happy number.

The square root of 2543386624 is 50432.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2492006400 + 51380224 = 49920^2 + 7168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2543386627) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12910494 + ... + 12910690.

Almost surely, 2^2543386624 is an apocalyptic number.

2543386624 is the 50432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543386624

2543386624 is an abundant number, since it is smaller than the sum of its proper divisors (2569299873).

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

2543386624 is an frugal number, since it uses more digits than its factorization.

2543386624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 199 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The cubic root of 2543386624 is about 1365.0151168117.

The spelling of 2543386624 in words is "two billion, five hundred forty-three million, three hundred eighty-six thousand, six hundred twenty-four".