2213510326272 has 1728 divisors, whose sum is σ = 8423555212800. Its totient is φ = 571875655680.

The previous prime is 2213510326267. The next prime is 2213510326289. The reversal of 2213510326272 is 2726230153122.

2213510326272 is a `hidden beast` number, since 2 + 2 + 1 + 351 + 0 + 32 + 6 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×2213510326272³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 30322059228 + ... + 30322059300.

It is an arithmetic number, because the mean of its divisors is an integer number (4874742600).

Almost surely, 2^{2213510326272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213510326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211777606400).

2213510326272 is an abundant number, since it is smaller than the sum of its proper divisors (6210044886528).

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

2213510326272 is a wasteful number, since it uses less digits than its factorization.

2213510326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 2213510326272 its reverse (2726230153122), we get a palindrome (4939740479394).

The spelling of 2213510326272 in words is "two trillion, two hundred thirteen billion, five hundred ten million, three hundred twenty-six thousand, two hundred seventy-two".