2412084584448 has 1344 divisors, whose sum is σ = 9143771180544. Its totient is φ = 594542592000.

The previous prime is 2412084584447. The next prime is 2412084584479. The reversal of 2412084584448 is 8444854802142.

2412084584448 is a `hidden beast` number, since 2 + 4 + 12 + 0 + 8 + 4 + 584 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 2412084584394 and 2412084584403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412084584443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10008649608 + ... + 10008649848.

It is an arithmetic number, because the mean of its divisors is an integer number (6803401176).

Almost surely, 2^{2412084584448} is an apocalyptic number.

2412084584448 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 2412084584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571885590272).

2412084584448 is an abundant number, since it is smaller than the sum of its proper divisors (6731686596096).

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

2412084584448 is a wasteful number, since it uses less digits than its factorization.

2412084584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 54.

The spelling of 2412084584448 in words is "two trillion, four hundred twelve billion, eighty-four million, five hundred eighty-four thousand, four hundred forty-eight".