2216521852272 has 1680 divisors, whose sum is σ = 8546576359104. Its totient is φ = 541508198400.

The previous prime is 2216521852267. The next prime is 2216521852277. The reversal of 2216521852272 is 2722581256122.

2216521852272 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 52 + 1 + 8 + 522 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2216521852267) and next prime (2216521852277).

It is a super-3 number, since 3×2216521852272³ (a number of 38 digits) contains 333 as substring.

Its product of digits (537600) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216521852277) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 41821166998 + ... + 41821167050.

Almost surely, 2^{2216521852272} 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 2216521852272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273288179552).

2216521852272 is an abundant number, since it is smaller than the sum of its proper divisors (6330054506832).

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

2216521852272 is a wasteful number, since it uses less digits than its factorization.

2216521852272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 150 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 2216521852272 in words is "two trillion, two hundred sixteen billion, five hundred twenty-one million, eight hundred fifty-two thousand, two hundred seventy-two".