2214216450 has 72 divisors (see below), whose sum is σ = 5985555888. Its totient is φ = 586815840.

The previous prime is 2214216449. The next prime is 2214216451. The reversal of 2214216450 is 546124122.

2214216450 is a `hidden beast` number, since 2 + 2 + 14 + 2 + 1 + 645 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2214216449) and next prime (2214216451).

It is a super-3 number, since 3×2214216450³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2214216451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58257 + ... + 88443.

Almost surely, 2^2214216450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214216450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992777944).

2214216450 is an abundant number, since it is smaller than the sum of its proper divisors (3771339438).

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

2214216450 is a wasteful number, since it uses less digits than its factorization.

2214216450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30368 (or 30360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2214216450 is about 47055.4614258536. The cubic root of 2214216450 is about 1303.3869178342.

The spelling of 2214216450 in words is "two billion, two hundred fourteen million, two hundred sixteen thousand, four hundred fifty".