2213255116800 has 1728 divisors, whose sum is σ = 9972051747840. Its totient is φ = 456629944320.

The previous prime is 2213255116799. The next prime is 2213255116823. The reversal of 2213255116800 is 86115523122.

2213255116800 is a `hidden beast` number, since 2 + 2 + 13 + 2 + 551 + 16 + 80 + 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1970841039 + ... + 1970842161.

It is an arithmetic number, because the mean of its divisors is an integer number (5770863280).

Almost surely, 2^{2213255116800} is an apocalyptic number.

2213255116800 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 2213255116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986025873920).

2213255116800 is an abundant number, since it is smaller than the sum of its proper divisors (7758796631040).

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

2213255116800 is a wasteful number, since it uses less digits than its factorization.

2213255116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2213255116800 in words is "two trillion, two hundred thirteen billion, two hundred fifty-five million, one hundred sixteen thousand, eight hundred".