2213478555120 has 960 divisors, whose sum is σ = 8823965230080. Its totient is φ = 486848102400.

The previous prime is 2213478555097. The next prime is 2213478555131. The reversal of 2213478555120 is 215558743122.

2213478555120 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 78 + 5 + 551 + 20 = 666.

2213478555120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213478555120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4801471690 + ... + 4801472150.

It is an arithmetic number, because the mean of its divisors is an integer number (9191630448).

Almost surely, 2^{2213478555120} is an apocalyptic number.

2213478555120 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 2213478555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411982615040).

2213478555120 is an abundant number, since it is smaller than the sum of its proper divisors (6610486674960).

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

2213478555120 is a wasteful number, since it uses less digits than its factorization.

2213478555120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 2213478555120 in words is "two trillion, two hundred thirteen billion, four hundred seventy-eight million, five hundred fifty-five thousand, one hundred twenty".