2616629409 has 45 divisors (see below), whose sum is σ = 4085014453. Its totient is φ = 1613979456.

The previous prime is 2616629401. The next prime is 2616629413. The reversal of 2616629409 is 9049266162.

The square root of 2616629409 is 51153.

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

2616629409 is a `hidden beast` number, since 2 + 6 + 16 + 629 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 812079009 + 1804550400 = 28497^2 + 42480^2 .

It is not a de Polignac number, because 2616629409 - 2³ = 2616629401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2616629401) 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 44 ways as a sum of consecutive naturals, for example, 44349622 + ... + 44349680.

Almost surely, 2^2616629409 is an apocalyptic number.

2616629409 is the 51153-rd square number.

2616629409 is the 25577-th centered octagonal number.

It is an amenable number.

2616629409 is a deficient number, since it is larger than the sum of its proper divisors (1468385044).

2616629409 is an frugal number, since it uses more digits than its factorization.

2616629409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 2616629409 is about 1377.9942522140.

It can be divided in two parts, 2616 and 629409, that added together give a square (632025 = 795²).

The spelling of 2616629409 in words is "two billion, six hundred sixteen million, six hundred twenty-nine thousand, four hundred nine".