2548230400 has 81 divisors (see below), whose sum is σ = 6317279913. Its totient is φ = 1017676800.

The previous prime is 2548230389. The next prime is 2548230431. The reversal of 2548230400 is 40328452.

The square root of 2548230400 is 50480.

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., 917362944 + 1630867456 = 30288^2 + 40384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4038085 + ... + 4038715.

Almost surely, 2^2548230400 is an apocalyptic number.

2548230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2548230400 is the 50480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2548230400

2548230400 is an abundant number, since it is smaller than the sum of its proper divisors (3769049513).

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

2548230400 is an frugal number, since it uses more digits than its factorization.

2548230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The cubic root of 2548230400 is about 1365.8811058198.

Adding to 2548230400 its reverse (40328452), we get a palindrome (2588558852).

The spelling of 2548230400 in words is "two billion, five hundred forty-eight million, two hundred thirty thousand, four hundred".