2034280609 has 27 divisors (see below), whose sum is σ = 2227617273. Its totient is φ = 1857521952.

The previous prime is 2034280597. The next prime is 2034280621. The reversal of 2034280609 is 9060824302.

The square root of 2034280609 is 45103.

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

It is an interprime number because it is at equal distance from previous prime (2034280597) and next prime (2034280621).

It can be written as a sum of positive squares in 4 ways, for example, as 812079009 + 1222201600 = 28497^2 + 34960^2 .

It is not a de Polignac number, because 2034280609 - 2⁹ = 2034280097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2034280009) 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, 38382627 + ... + 38382679.

Almost surely, 2^2034280609 is an apocalyptic number.

2034280609 is the 45103-rd square number.

2034280609 is the 22552-nd centered octagonal number.

It is an amenable number.

2034280609 is a deficient number, since it is larger than the sum of its proper divisors (193336664).

2034280609 is an frugal number, since it uses more digits than its factorization.

2034280609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 2034280609 is about 1267.0787858979.

Multiplying 2034280609 by its product of nonzero digits (20736), we get a square (42182842708224 = 6494832²).

The spelling of 2034280609 in words is "two billion, thirty-four million, two hundred eighty thousand, six hundred nine".