2919348961 has 9 divisors (see below), whose sum is σ = 2964941779. Its totient is φ = 2874449200.

The previous prime is 2919348941. The next prime is 2919348967. The reversal of 2919348961 is 1698439192.

The square root of 2919348961 is 54031.

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., 7667361 + 2911681600 = 2769^2 + 53960^2 .

It is not a de Polignac number, because 2919348961 - 2⁹ = 2919348449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2919348899 and 2919348908.

It is not an unprimeable number, because it can be changed into a prime (2919348967) 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, 3835821 + ... + 3836581.

Almost surely, 2^2919348961 is an apocalyptic number.

2919348961 is the 54031-st square number.

2919348961 is the 27016-th centered octagonal number.

It is an amenable number.

2919348961 is a deficient number, since it is larger than the sum of its proper divisors (45592818).

2919348961 is an frugal number, since it uses more digits than its factorization.

2919348961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 832 counting only the distinct ones).

The product of its digits is 839808, while the sum is 52.

The cubic root of 2919348961 is about 1429.2076659436.

The spelling of 2919348961 in words is "two billion, nine hundred nineteen million, three hundred forty-eight thousand, nine hundred sixty-one".