2152508582448 has 480 divisors, whose sum is σ = 7528468147200. Its totient is φ = 560402841600.

The previous prime is 2152508582447. The next prime is 2152508582473. The reversal of 2152508582448 is 8442858052512.

2152508582448 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 50 + 8 + 582 + 4 + 4 + 8 = 666.

It is a Cunningham number, because it is equal to 1467143²-1.

It is a junction number, because it is equal to n+sod(n) for n = 2152508582394 and 2152508582403.

It is not an unprimeable number, because it can be changed into a prime (2152508582443) 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 95 ways as a sum of consecutive naturals, for example, 55732168 + ... + 55770776.

It is an arithmetic number, because the mean of its divisors is an integer number (15684308640).

Almost surely, 2^{2152508582448} is an apocalyptic number.

2152508582448 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 2152508582448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764234073600).

2152508582448 is an abundant number, since it is smaller than the sum of its proper divisors (5375959564752).

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

2152508582448 is a wasteful number, since it uses less digits than its factorization.

2152508582448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38761 (or 38752 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 54.

The spelling of 2152508582448 in words is "two trillion, one hundred fifty-two billion, five hundred eight million, five hundred eighty-two thousand, four hundred forty-eight".