2216267240337 has 6 divisors (see below), whose sum is σ = 3201274902722. Its totient is φ = 1477511493552.

The previous prime is 2216267240287. The next prime is 2216267240387. The reversal of 2216267240337 is 7330427626122.

2216267240337 is a `hidden beast` number, since 2 + 2 + 16 + 2 + 67 + 240 + 337 = 666.

It is an interprime number because it is at equal distance from previous prime (2216267240287) and next prime (2216267240387).

It can be written as a sum of positive squares in only one way, i.e., 2197987118721 + 18280121616 = 1482561^2 + 135204^2 .

It is not a de Polignac number, because 2216267240337 - 2²⁸ = 2215998804881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2216267240292 and 2216267240301.

It is not an unprimeable number, because it can be changed into a prime (2216267240387) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123125957788 + ... + 123125957805.

Almost surely, 2^{2216267240337} is an apocalyptic number.

It is an amenable number.

2216267240337 is a deficient number, since it is larger than the sum of its proper divisors (985007662385).

2216267240337 is a wasteful number, since it uses less digits than its factorization.

2216267240337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246251915599 (or 246251915596 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 2216267240337 in words is "two trillion, two hundred sixteen billion, two hundred sixty-seven million, two hundred forty thousand, three hundred thirty-seven".