2153353000224 has 96 divisors (see below), whose sum is σ = 5955580560384. Its totient is φ = 679910457600.

The previous prime is 2153353000193. The next prime is 2153353000229. The reversal of 2153353000224 is 4220003533512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2153353000191 and 2153353000200.

It is not an unprimeable number, because it can be changed into a prime (2153353000229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4506802 + ... + 4961649.

It is an arithmetic number, because the mean of its divisors is an integer number (62037297504).

Almost surely, 2^{2153353000224} is an apocalyptic number.

2153353000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2153353000224 is an abundant number, since it is smaller than the sum of its proper divisors (3802227560160).

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

2153353000224 is a wasteful number, since it uses less digits than its factorization.

2153353000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468590 (or 9468582 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 2153353000224 its reverse (4220003533512), we get a palindrome (6373356533736).

The spelling of 2153353000224 in words is "two trillion, one hundred fifty-three billion, three hundred fifty-three million, two hundred twenty-four", and thus it is an aban number.