2217139456 has 216 divisors, whose sum is σ = 5618248776. Its totient is φ = 867041280.

The previous prime is 2217139453. The next prime is 2217139459. The reversal of 2217139456 is 6549317122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2217139453) and next prime (2217139459).

It can be written as a sum of positive squares in 4 ways, for example, as 1268499456 + 948640000 = 35616^2 + 30800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217139451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7890036 + ... + 7890316.

It is an arithmetic number, because the mean of its divisors is an integer number (26010411).

Almost surely, 2^2217139456 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 2217139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809124388).

2217139456 is an abundant number, since it is smaller than the sum of its proper divisors (3401109320).

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

2217139456 is a wasteful number, since it uses less digits than its factorization.

2217139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 2217139456 is about 47086.5103400114. The cubic root of 2217139456 is about 1303.9602030335.

The spelling of 2217139456 in words is "two billion, two hundred seventeen million, one hundred thirty-nine thousand, four hundred fifty-six".