2649057961 has 9 divisors (see below), whose sum is σ = 2912396893. Its totient is φ = 2407719820.

The previous prime is 2649057937. The next prime is 2649057979. The reversal of 2649057961 is 1697509462.

It is a happy number.

The square root of 2649057961 is 51469.

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

It is not a de Polignac number, because 2649057961 - 2⁹ = 2649057449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2649057991) 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, 563820 + ... + 568498.

Almost surely, 2^2649057961 is an apocalyptic number.

2649057961 is the 51469-th square number.

2649057961 is the 25735-th centered octagonal number.

It is an amenable number.

2649057961 is a deficient number, since it is larger than the sum of its proper divisors (263338932).

2649057961 is an frugal number, since it uses more digits than its factorization.

2649057961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9380 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The cubic root of 2649057961 is about 1383.6635069173.

Multiplying 2649057961 by its sum of digits (49), we get a square (129803840089 = 360283²).

The spelling of 2649057961 in words is "two billion, six hundred forty-nine million, fifty-seven thousand, nine hundred sixty-one".