2152953208224 has 1152 divisors, whose sum is σ = 8040622464000. Its totient is φ = 558710949888.

The previous prime is 2152953208201. The next prime is 2152953208261. The reversal of 2152953208224 is 4228023592512.

2152953208224 is a `hidden beast` number, since 2 + 1 + 529 + 5 + 3 + 20 + 82 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2152953208224.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 7347963022 + ... + 7347963314.

It is an arithmetic number, because the mean of its divisors is an integer number (6979707000).

Almost surely, 2^{2152953208224} is an apocalyptic number.

2152953208224 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 2152953208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020311232000).

2152953208224 is an abundant number, since it is smaller than the sum of its proper divisors (5887669255776).

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

2152953208224 is a wasteful number, since it uses less digits than its factorization.

2152953208224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2152953208224 in words is "two trillion, one hundred fifty-two billion, nine hundred fifty-three million, two hundred eight thousand, two hundred twenty-four".