2264341781529 has 15 divisors (see below), whose sum is σ = 3382555484847. Its totient is φ = 1509552159048.

The previous prime is 2264341781497. The next prime is 2264341781539. The reversal of 2264341781529 is 9251871434622.

It is a happy number.

The square root of 2264341781529 is 1504773.

It is a perfect power (a square), and thus also a powerful number.

2264341781529 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 3 + 41 + 78 + 1 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1485973190025 + 778368591504 = 1219005^2 + 882252^2 .

It is not a de Polignac number, because 2264341781529 - 2⁵ = 2264341781497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2264341781539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13459359 + ... + 13626555.

Almost surely, 2^{2264341781529} is an apocalyptic number.

2264341781529 is the 1504773-rd square number.

2264341781529 is the 752387-th centered octagonal number.

It is an amenable number.

2264341781529 is a deficient number, since it is larger than the sum of its proper divisors (1118213703318).

2264341781529 is an frugal number, since it uses more digits than its factorization.

2264341781529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334406 (or 167200 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 2264341781529 in words is "two trillion, two hundred sixty-four billion, three hundred forty-one million, seven hundred eighty-one thousand, five hundred twenty-nine".