2330577784129 has 15 divisors (see below), whose sum is σ = 2716898048337. Its totient is φ = 1993360503036.

The previous prime is 2330577784109. The next prime is 2330577784169. The reversal of 2330577784129 is 9214877750332.

The square root of 2330577784129 is 1526623.

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

It is not a de Polignac number, because 2330577784129 - 2⁵ = 2330577784097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2330577784109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4990530354 + ... + 4990530820.

Almost surely, 2^{2330577784129} is an apocalyptic number.

2330577784129 is the 1526623-rd square number.

2330577784129 is the 763312-nd centered octagonal number.

It is an amenable number.

2330577784129 is a deficient number, since it is larger than the sum of its proper divisors (386320264208).

2330577784129 is an frugal number, since it uses more digits than its factorization.

2330577784129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 2330577784129 in words is "two trillion, three hundred thirty billion, five hundred seventy-seven million, seven hundred eighty-four thousand, one hundred twenty-nine".