2629291437081 has 27 divisors (see below), whose sum is σ = 3893050870527. Its totient is φ = 1709978531040.

The previous prime is 2629291437067. The next prime is 2629291437089. The reversal of 2629291437081 is 1807341929262.

The square root of 2629291437081 is 1621509.

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

2629291437081 is a `hidden beast` number, since 2 + 629 + 2 + 9 + 1 + 4 + 3 + 7 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126693995481 + 2502597441600 = 355941^2 + 1581960^2 .

It is not a de Polignac number, because 2629291437081 - 2²⁹ = 2628754566169 is a prime.

It is a super-2 number, since 2×2629291437081² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2629291437089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199439016 + ... + 199452198.

Almost surely, 2^{2629291437081} is an apocalyptic number.

2629291437081 is the 1621509-th square number.

2629291437081 is the 810755-th centered octagonal number.

It is an amenable number.

2629291437081 is a deficient number, since it is larger than the sum of its proper divisors (1263759433446).

2629291437081 is an frugal number, since it uses more digits than its factorization.

2629291437081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26454 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2629291437081 in words is "two trillion, six hundred twenty-nine billion, two hundred ninety-one million, four hundred thirty-seven thousand, eighty-one".