2158185088224 has 144 divisors (see below), whose sum is σ = 6926150715120. Its totient is φ = 631443886080.

The previous prime is 2158185088211. The next prime is 2158185088229. The reversal of 2158185088224 is 4228805818512.

2158185088224 is a `hidden beast` number, since 2 + 1 + 58 + 1 + 8 + 508 + 82 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158185088229) 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 23 ways as a sum of consecutive naturals, for example, 11653737 + ... + 11837480.

It is an arithmetic number, because the mean of its divisors is an integer number (48098268855).

Almost surely, 2^{2158185088224} is an apocalyptic number.

2158185088224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2158185088224 is an abundant number, since it is smaller than the sum of its proper divisors (4767965626896).

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

2158185088224 is a wasteful number, since it uses less digits than its factorization.

2158185088224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23491273 (or 23491262 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 54.

The spelling of 2158185088224 in words is "two trillion, one hundred fifty-eight billion, one hundred eighty-five million, eighty-eight thousand, two hundred twenty-four".