2629740961 has 9 divisors (see below), whose sum is σ = 2776461681. Its totient is φ = 2490410484.

The previous prime is 2629740959. The next prime is 2629740989. The reversal of 2629740961 is 1690479262.

The square root of 2629740961 is 51281.

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

It is not a de Polignac number, because 2629740961 - 2¹ = 2629740959 is a prime.

It is a super-2 number, since 2×2629740961² = 13831075043922407042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2629740901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 972990 + ... + 975688.

Almost surely, 2^2629740961 is an apocalyptic number.

2629740961 is the 51281-st square number.

2629740961 is the 25641-st centered octagonal number.

It is an amenable number.

2629740961 is a deficient number, since it is larger than the sum of its proper divisors (146720720).

2629740961 is an frugal number, since it uses more digits than its factorization.

2629740961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The cubic root of 2629740961 is about 1380.2920618624.

It can be divided in two parts, 2629 and 740961, that added together give a triangular number (743590 = T₁₂₁₉).

The spelling of 2629740961 in words is "two billion, six hundred twenty-nine million, seven hundred forty thousand, nine hundred sixty-one".