2632029256609 has 27 divisors (see below), whose sum is σ = 2808467061363. Its totient is φ = 2466314009424.

The previous prime is 2632029256603. The next prime is 2632029256621. The reversal of 2632029256609 is 9066529202362.

It is a happy number.

The square root of 2632029256609 is 1622353.

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

It can be written as a sum of positive squares in only one way, i.e., 1515245288209 + 1116783968400 = 1230953^2 + 1056780^2 .

It is not a de Polignac number, because 2632029256609 - 2³³ = 2623439322017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2632029256603) 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, 3174944407 + ... + 3174945235.

It is an arithmetic number, because the mean of its divisors is an integer number (104017298569).

Almost surely, 2^{2632029256609} is an apocalyptic number.

2632029256609 is the 1622353-rd square number.

2632029256609 is the 811177-th centered octagonal number.

It is an amenable number.

2632029256609 is a deficient number, since it is larger than the sum of its proper divisors (176437804754).

2632029256609 is an frugal number, since it uses more digits than its factorization.

2632029256609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 2632029256609 in words is "two trillion, six hundred thirty-two billion, twenty-nine million, two hundred fifty-six thousand, six hundred nine".