2185330624224 has 96 divisors (see below), whose sum is σ = 6264804591360. Its totient is φ = 661500518400.

The previous prime is 2185330624177. The next prime is 2185330624229. The reversal of 2185330624224 is 4224260335812.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185330624229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155457 + ... + 2096384.

It is an arithmetic number, because the mean of its divisors is an integer number (65258381160).

Almost surely, 2^{2185330624224} is an apocalyptic number.

2185330624224 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 2185330624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132402295680).

2185330624224 is an abundant number, since it is smaller than the sum of its proper divisors (4079473967136).

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

2185330624224 is a wasteful number, since it uses less digits than its factorization.

2185330624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252784 (or 2252776 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 2185330624224 in words is "two trillion, one hundred eighty-five billion, three hundred thirty million, six hundred twenty-four thousand, two hundred twenty-four".