2541064617 has 96 divisors (see below), whose sum is σ = 4834968320. Its totient is φ = 1248514560.

The previous prime is 2541064597. The next prime is 2541064621. The reversal of 2541064617 is 7164601452.

2541064617 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 0 + 646 + 1 + 7 = 666.

It is not a de Polignac number, because 2541064617 - 2¹⁹ = 2540540329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2541064657) 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 95 ways as a sum of consecutive naturals, for example, 947883 + ... + 950559.

Almost surely, 2^2541064617 is an apocalyptic number.

It is an amenable number.

2541064617 is a deficient number, since it is larger than the sum of its proper divisors (2293903703).

2541064617 is a wasteful number, since it uses less digits than its factorization.

2541064617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2541064617 is about 50408.9735761402. The cubic root of 2541064617 is about 1364.5995895144.

The spelling of 2541064617 in words is "two billion, five hundred forty-one million, sixty-four thousand, six hundred seventeen".