2213810920000 has 560 divisors, whose sum is σ = 5769160277760. Its totient is φ = 841984000000.

The previous prime is 2213810919961. The next prime is 2213810920021. The reversal of 2213810920000 is 290183122.

It is a super-2 number, since 2×2213810920000² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 16899319935 + ... + 16899320065.

Almost surely, 2^{2213810920000} is an apocalyptic number.

2213810920000 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 2213810920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884580138880).

2213810920000 is an abundant number, since it is smaller than the sum of its proper divisors (3555349357760).

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

2213810920000 is a wasteful number, since it uses less digits than its factorization.

2213810920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 2213810920000 in words is "two trillion, two hundred thirteen billion, eight hundred ten million, nine hundred twenty thousand".