2181088242432 has 576 divisors, whose sum is σ = 7365911454720. Its totient is φ = 630153216000.

The previous prime is 2181088242371. The next prime is 2181088242439. The reversal of 2181088242432 is 2342428801812.

2181088242432 is a `hidden beast` number, since 2 + 18 + 108 + 82 + 424 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2181088242432² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2181088242439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 589322182 + ... + 589325882.

It is an arithmetic number, because the mean of its divisors is an integer number (12788040720).

Almost surely, 2^{2181088242432} is an apocalyptic number.

2181088242432 is a gapful number since it is divisible by the number (22) 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 2181088242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682955727360).

2181088242432 is an abundant number, since it is smaller than the sum of its proper divisors (5184823212288).

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

2181088242432 is a wasteful number, since it uses less digits than its factorization.

2181088242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2181088242432 in words is "two trillion, one hundred eighty-one billion, eighty-eight million, two hundred forty-two thousand, four hundred thirty-two".