2189382126624 has 768 divisors, whose sum is σ = 8211829248000. Its totient is φ = 550974873600.

The previous prime is 2189382126599. The next prime is 2189382126641. The reversal of 2189382126624 is 4266212839812.

2189382126624 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 3 + 8 + 2 + 1 + 2 + 6 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406416859 + ... + 406422245.

It is an arithmetic number, because the mean of its divisors is an integer number (10692486000).

Almost surely, 2^{2189382126624} is an apocalyptic number.

2189382126624 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 2189382126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105914624000).

2189382126624 is an abundant number, since it is smaller than the sum of its proper divisors (6022447121376).

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

2189382126624 is a wasteful number, since it uses less digits than its factorization.

2189382126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5600 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 2189382126624 in words is "two trillion, one hundred eighty-nine billion, three hundred eighty-two million, one hundred twenty-six thousand, six hundred twenty-four".