2573735824 has 45 divisors (see below), whose sum is σ = 5485911249. Its totient is φ = 1168865280.

The previous prime is 2573735821. The next prime is 2573735831. The reversal of 2573735824 is 4285373752.

The square root of 2573735824 is 50732.

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., 2034010000 + 539725824 = 45100^2 + 23232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2573735821) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2231632 + ... + 2232784.

Almost surely, 2^2573735824 is an apocalyptic number.

2573735824 is the 50732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573735824

2573735824 is an abundant number, since it is smaller than the sum of its proper divisors (2912175425).

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

2573735824 is an equidigital number, since it uses as much as digits as its factorization.

2573735824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 1166 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 46.

The cubic root of 2573735824 is about 1370.4230536771.

The spelling of 2573735824 in words is "two billion, five hundred seventy-three million, seven hundred thirty-five thousand, eight hundred twenty-four".