2213506128960 has 1344 divisors, whose sum is σ = 9778193897472. Its totient is φ = 465025204224.

The previous prime is 2213506128949. The next prime is 2213506128983. The reversal of 2213506128960 is 698216053122.

2213506128960 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 506 + 1 + 2 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 397895139 + ... + 397900701.

It is an arithmetic number, because the mean of its divisors is an integer number (7275441888).

Almost surely, 2^{2213506128960} is an apocalyptic number.

2213506128960 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 2213506128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889096948736).

2213506128960 is an abundant number, since it is smaller than the sum of its proper divisors (7564687768512).

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

2213506128960 is a wasteful number, since it uses less digits than its factorization.

2213506128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2213506128960 in words is "two trillion, two hundred thirteen billion, five hundred six million, one hundred twenty-eight thousand, nine hundred sixty".