2188087729 has 9 divisors (see below), whose sum is σ = 2267546593. Its totient is φ = 2111326672.

The previous prime is 2188087711. The next prime is 2188087739. The reversal of 2188087729 is 9277808812.

The square root of 2188087729 is 46777.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49210225 + 2138877504 = 7015^2 + 46248^2 .

It is not a de Polignac number, because 2188087729 - 2⁹ = 2188087217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2188087739) 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, 1355727 + ... + 1357339.

Almost surely, 2^2188087729 is an apocalyptic number.

2188087729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2188087729 is the 46777-th square number.

2188087729 is the 23389-th centered octagonal number.

It is an amenable number.

2188087729 is a deficient number, since it is larger than the sum of its proper divisors (79458864).

2188087729 is an frugal number, since it uses more digits than its factorization.

2188087729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The cubic root of 2188087729 is about 1298.2397733140.

The spelling of 2188087729 in words is "two billion, one hundred eighty-eight million, eighty-seven thousand, seven hundred twenty-nine".