2182461138000 has 1280 divisors, whose sum is σ = 9231879121920. Its totient is φ = 485885952000.

The previous prime is 2182461137993. The next prime is 2182461138047. The reversal of 2182461138000 is 8311642812.

2182461138000 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 4 + 611 + 38 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1799225394 + ... + 1799226606.

It is an arithmetic number, because the mean of its divisors is an integer number (7212405564).

Almost surely, 2^{2182461138000} is an apocalyptic number.

2182461138000 is a gapful number since it is divisible by the number (20) 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 2182461138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615939560960).

2182461138000 is an abundant number, since it is smaller than the sum of its proper divisors (7049417983920).

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

2182461138000 is a wasteful number, since it uses less digits than its factorization.

2182461138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2182461138000 in words is "two trillion, one hundred eighty-two billion, four hundred sixty-one million, one hundred thirty-eight thousand".