2034037882809 has 81 divisors (see below), whose sum is σ = 3141124194117. Its totient is φ = 1268174372400.

The previous prime is 2034037882783. The next prime is 2034037882817. The reversal of 2034037882809 is 9082887304302.

The square root of 2034037882809 is 1426197.

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

2034037882809 is a `hidden beast` number, since 203 + 40 + 378 + 8 + 28 + 0 + 9 = 666.

It is not a de Polignac number, because 2034037882809 - 2⁵ = 2034037882777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2034037882819) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10649412904 + ... + 10649413094.

Almost surely, 2^{2034037882809} is an apocalyptic number.

2034037882809 is the 1426197-th square number.

2034037882809 is the 713099-th centered octagonal number.

It is an amenable number.

2034037882809 is a deficient number, since it is larger than the sum of its proper divisors (1107086311308).

2034037882809 is an equidigital number, since it uses as much as digits as its factorization.

2034037882809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2034037882809 in words is "two trillion, thirty-four billion, thirty-seven million, eight hundred eighty-two thousand, eight hundred nine".