2220002133257 has 2 divisors, whose sum is σ = 2220002133258. Its totient is φ = 2220002133256.

The previous prime is 2220002133169. The next prime is 2220002133281. The reversal of 2220002133257 is 7523312000222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1215779685376 + 1004222447881 = 1102624^2 + 1002109^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220002133257 - 2¹⁰ = 2220002132233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220002133857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110001066628 + 1110001066629.

It is an arithmetic number, because the mean of its divisors is an integer number (1110001066629).

Almost surely, 2^{2220002133257} is an apocalyptic number.

It is an amenable number.

2220002133257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220002133257 is an equidigital number, since it uses as much as digits as its factorization.

2220002133257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 29.

Adding to 2220002133257 its reverse (7523312000222), we get a palindrome (9743314133479).

The spelling of 2220002133257 in words is "two trillion, two hundred twenty billion, two million, one hundred thirty-three thousand, two hundred fifty-seven".