2534417649 has 27 divisors (see below), whose sum is σ = 3720459873. Its totient is φ = 1662527232.

The previous prime is 2534417623. The next prime is 2534417651. The reversal of 2534417649 is 9467144352.

The square root of 2534417649 is 50343.

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

2534417649 is a `hidden beast` number, since 2 + 534 + 4 + 1 + 76 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 438609249 + 2095808400 = 20943^2 + 45780^2 .

It is not a de Polignac number, because 2534417649 - 2¹³ = 2534409457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2534417659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14649727 + ... + 14649899.

Almost surely, 2^2534417649 is an apocalyptic number.

2534417649 is the 50343-rd square number.

2534417649 is the 25172-nd centered octagonal number.

It is an amenable number.

2534417649 is a deficient number, since it is larger than the sum of its proper divisors (1186042224).

2534417649 is an frugal number, since it uses more digits than its factorization.

2534417649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 2534417649 is about 1363.4087014977.

The spelling of 2534417649 in words is "two billion, five hundred thirty-four million, four hundred seventeen thousand, six hundred forty-nine".