2213608320000 has 3960 divisors, whose sum is σ = 10917659630592. Its totient is φ = 425779200000.

The previous prime is 2213608319987. The next prime is 2213608320013. The reversal of 2213608320000 is 238063122.

2213608320000 is a `hidden beast` number, since 2 + 21 + 3 + 608 + 32 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2213608319987) and next prime (2213608320013).

It is a tau number, because it is divible by the number of its divisors (3960).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 71406719985 + ... + 71406720015.

Almost surely, 2^{2213608320000} is an apocalyptic number.

2213608320000 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 2213608320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458829815296).

2213608320000 is an abundant number, since it is smaller than the sum of its proper divisors (8704051310592).

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

2213608320000 is a wasteful number, since it uses less digits than its factorization.

2213608320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 2213608320000 in words is "two trillion, two hundred thirteen billion, six hundred eight million, three hundred twenty thousand".