2538768448 has 56 divisors (see below), whose sum is σ = 5311566720. Its totient is φ = 1200637440.

The previous prime is 2538768443. The next prime is 2538768473. The reversal of 2538768448 is 8448678352.

It is not an unprimeable number, because it can be changed into a prime (2538768443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 997065 + ... + 999607.

Almost surely, 2^2538768448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655783360).

2538768448 is an abundant number, since it is smaller than the sum of its proper divisors (2772798272).

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

2538768448 is a wasteful number, since it uses less digits than its factorization.

2538768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3385 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 55.

The square root of 2538768448 is about 50386.1930294401. The cubic root of 2538768448 is about 1364.1884369710.

The spelling of 2538768448 in words is "two billion, five hundred thirty-eight million, seven hundred sixty-eight thousand, four hundred forty-eight".