2632983286609 has 9 divisors (see below), whose sum is σ = 2851123087323. Its totient is φ = 2430426638952.

The previous prime is 2632983286589. The next prime is 2632983286627. The reversal of 2632983286609 is 9066823892362.

The square root of 2632983286609 is 1622647.

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., 389494569025 + 2243488717584 = 624095^2 + 1497828^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2632983286609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2632983286639) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21032002 + ... + 21156820.

It is an arithmetic number, because the mean of its divisors is an integer number (316791454147).

Almost surely, 2^{2632983286609} is an apocalyptic number.

2632983286609 is the 1622647-th square number.

2632983286609 is the 811324-th centered octagonal number.

It is an amenable number.

2632983286609 is a deficient number, since it is larger than the sum of its proper divisors (218139800714).

2632983286609 is an frugal number, since it uses more digits than its factorization.

2632983286609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249664 (or 124832 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 64.

Multiplying 2632983286609 by its sum of digits (64), we get a square (168510930342976 = 12981176²).

The spelling of 2632983286609 in words is "two trillion, six hundred thirty-two billion, nine hundred eighty-three million, two hundred eighty-six thousand, six hundred nine".