2213186956000 has 384 divisors, whose sum is σ = 6119916042240. Its totient is φ = 781636608000.

The previous prime is 2213186955979. The next prime is 2213186956027. The reversal of 2213186956000 is 6596813122.

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 63 ways as a sum of consecutive naturals, for example, 133067685 + ... + 133084315.

It is an arithmetic number, because the mean of its divisors is an integer number (15937281360).

Almost surely, 2^{2213186956000} is an apocalyptic number.

2213186956000 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 2213186956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059958021120).

2213186956000 is an abundant number, since it is smaller than the sum of its proper divisors (3906729086240).

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

2213186956000 is a wasteful number, since it uses less digits than its factorization.

2213186956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16795 (or 16777 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 2213186956000 in words is "two trillion, two hundred thirteen billion, one hundred eighty-six million, nine hundred fifty-six thousand".