2181426522624 has 320 divisors, whose sum is σ = 6689394708480. Its totient is φ = 701160468480.

The previous prime is 2181426522619. The next prime is 2181426522661. The reversal of 2181426522624 is 4262256241812.

2181426522624 is a `hidden beast` number, since 2 + 1 + 8 + 14 + 2 + 6 + 5 + 2 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2181426522624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121268959 + ... + 121286945.

It is an arithmetic number, because the mean of its divisors is an integer number (20904358464).

Almost surely, 2^{2181426522624} is an apocalyptic number.

2181426522624 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 2181426522624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344697354240).

2181426522624 is an abundant number, since it is smaller than the sum of its proper divisors (4507968185856).

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

2181426522624 is a wasteful number, since it uses less digits than its factorization.

2181426522624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18328 (or 18306 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 2181426522624 in words is "two trillion, one hundred eighty-one billion, four hundred twenty-six million, five hundred twenty-two thousand, six hundred twenty-four".