2824748328480 has 192 divisors, whose sum is σ = 9583469925120. Its totient is φ = 695246155776.

The previous prime is 2824748328473. The next prime is 2824748328481. The reversal of 2824748328480 is 848238474282.

It is a super-2 number, since 2×2824748328480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2824748328481) 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 31 ways as a sum of consecutive naturals, for example, 74605234 + ... + 74643086.

It is an arithmetic number, because the mean of its divisors is an integer number (49913905860).

Almost surely, 2^{2824748328480} is an apocalyptic number.

2824748328480 is a gapful number since it is divisible by the number (20) 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 2824748328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791734962560).

2824748328480 is an abundant number, since it is smaller than the sum of its proper divisors (6758721596640).

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

2824748328480 is a wasteful number, since it uses less digits than its factorization.

2824748328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49843 (or 49835 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 60.

The spelling of 2824748328480 in words is "two trillion, eight hundred twenty-four billion, seven hundred forty-eight million, three hundred twenty-eight thousand, four hundred eighty".