2481450868224 has 280 divisors, whose sum is σ = 7465053768480. Its totient is φ = 823659798528.

The previous prime is 2481450868223. The next prime is 2481450868243. The reversal of 2481450868224 is 4228680541842.

2481450868224 is a `hidden beast` number, since 2 + 48 + 14 + 508 + 6 + 82 + 2 + 4 = 666.

It is a super-3 number, since 3×2481450868224³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481450868223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 89192364 + ... + 89220180.

It is an arithmetic number, because the mean of its divisors is an integer number (26660906316).

Almost surely, 2^{2481450868224} is an apocalyptic number.

2481450868224 is a gapful number since it is divisible by the number (24) 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 2481450868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732526884240).

2481450868224 is an abundant number, since it is smaller than the sum of its proper divisors (4983602900256).

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

2481450868224 is an frugal number, since it uses more digits than its factorization.

2481450868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28092 (or 28061 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 2481450868224 in words is "two trillion, four hundred eighty-one billion, four hundred fifty million, eight hundred sixty-eight thousand, two hundred twenty-four".