2213609475744 has 288 divisors, whose sum is σ = 6500436074496. Its totient is φ = 714171064320.

The previous prime is 2213609475743. The next prime is 2213609475761. The reversal of 2213609475744 is 4475749063122.

2213609475744 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 60 + 9 + 4 + 7 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2213609475744² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2213609475743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579325354 + ... + 579329174.

It is an arithmetic number, because the mean of its divisors is an integer number (22570958592).

Almost surely, 2^{2213609475744} is an apocalyptic number.

2213609475744 is a gapful number since it is divisible by the number (24) 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 2213609475744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250218037248).

2213609475744 is an abundant number, since it is smaller than the sum of its proper divisors (4286826598752).

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

2213609475744 is a wasteful number, since it uses less digits than its factorization.

2213609475744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 2213609475744 in words is "two trillion, two hundred thirteen billion, six hundred nine million, four hundred seventy-five thousand, seven hundred forty-four".