2582233976448 has 1280 divisors, whose sum is σ = 9876759552000. Its totient is φ = 652765962240.

The previous prime is 2582233976447. The next prime is 2582233976461. The reversal of 2582233976448 is 8446793322852.

2582233976448 is a `hidden beast` number, since 2 + 5 + 82 + 23 + 3 + 97 + 6 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2582233976447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1239669615 + ... + 1239671697.

It is an arithmetic number, because the mean of its divisors is an integer number (7716218400).

Almost surely, 2^{2582233976448} is an apocalyptic number.

2582233976448 is a gapful number since it is divisible by the number (28) 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 2582233976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938379776000).

2582233976448 is an abundant number, since it is smaller than the sum of its proper divisors (7294525575552).

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

2582233976448 is a wasteful number, since it uses less digits than its factorization.

2582233976448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2174 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 2582233976448 in words is "two trillion, five hundred eighty-two billion, two hundred thirty-three million, nine hundred seventy-six thousand, four hundred forty-eight".