2029904014009 has 9 divisors (see below), whose sum is σ = 2039366741583. Its totient is φ = 2020485011592.

The previous prime is 2029904013829. The next prime is 2029904014069. The reversal of 2029904014009 is 9004104099202.

The square root of 2029904014009 is 1424747.

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., 5714906409 + 2024189107600 = 75597^2 + 1422740^2 .

It is not a de Polignac number, because 2029904014009 - 2¹³ = 2029904005817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2029904014069) 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, 317715387 + ... + 317721775.

Almost surely, 2^{2029904014009} is an apocalyptic number.

2029904014009 is the 1424747-th square number.

2029904014009 is the 712374-th centered octagonal number.

It is an amenable number.

2029904014009 is a deficient number, since it is larger than the sum of its proper divisors (9462727574).

2029904014009 is an frugal number, since it uses more digits than its factorization.

2029904014009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13224 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

It can be divided in two parts, 20299040 and 14009, that added together give a square (20313049 = 4507²).

The spelling of 2029904014009 in words is "two trillion, twenty-nine billion, nine hundred four million, fourteen thousand, nine".