2264563761829 has 2 divisors, whose sum is σ = 2264563761830. Its totient is φ = 2264563761828.

The previous prime is 2264563761781. The next prime is 2264563761851. The reversal of 2264563761829 is 9281673654622.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1881829752804 + 382734009025 = 1371798^2 + 618655^2 .

It is a cyclic number.

It is not a de Polignac number, because 2264563761829 - 2¹³ = 2264563753637 is a prime.

It is a super-2 number, since 2×2264563761829² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2264563761869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1132281880914 + 1132281880915.

It is an arithmetic number, because the mean of its divisors is an integer number (1132281880915).

Almost surely, 2^{2264563761829} is an apocalyptic number.

It is an amenable number.

2264563761829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2264563761829 is an equidigital number, since it uses as much as digits as its factorization.

2264563761829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52254720, while the sum is 61.

The spelling of 2264563761829 in words is "two trillion, two hundred sixty-four billion, five hundred sixty-three million, seven hundred sixty-one thousand, eight hundred twenty-nine".