2149792291089 has 45 divisors (see below), whose sum is σ = 3245541260929. Its totient is φ = 1418125082400.

The previous prime is 2149792291057. The next prime is 2149792291183. The reversal of 2149792291089 is 9801922979412.

The square root of 2149792291089 is 1466217.

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

2149792291089 is a `hidden beast` number, since 21 + 497 + 92 + 29 + 10 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 918118494225 + 1231673796864 = 958185^2 + 1109808^2 .

It is not a de Polignac number, because 2149792291089 - 2⁵ = 2149792291057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2149792291019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1332790447 + ... + 1332792059.

Almost surely, 2^{2149792291089} is an apocalyptic number.

2149792291089 is the 1466217-th square number.

2149792291089 is the 733109-th centered octagonal number.

It is an amenable number.

2149792291089 is a deficient number, since it is larger than the sum of its proper divisors (1095748969840).

2149792291089 is an frugal number, since it uses more digits than its factorization.

2149792291089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 2149792291089 in words is "two trillion, one hundred forty-nine billion, seven hundred ninety-two million, two hundred ninety-one thousand, eighty-nine".