2261624531629 has 2 divisors, whose sum is σ = 2261624531630. Its totient is φ = 2261624531628.

The previous prime is 2261624531603. The next prime is 2261624531681. The reversal of 2261624531629 is 9261354261622.

2261624531629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1594588072900 + 667036458729 = 1262770^2 + 816723^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261624531629 - 2⁵ = 2261624531597 is a prime.

It is a super-2 number, since 2×2261624531629² (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 (2261624531029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130812265814 + 1130812265815.

It is an arithmetic number, because the mean of its divisors is an integer number (1130812265815).

Almost surely, 2^{2261624531629} is an apocalyptic number.

It is an amenable number.

2261624531629 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261624531629 is an equidigital number, since it uses as much as digits as its factorization.

2261624531629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1866240, while the sum is 49.

The spelling of 2261624531629 in words is "two trillion, two hundred sixty-one billion, six hundred twenty-four million, five hundred thirty-one thousand, six hundred twenty-nine".