2449904257089 has 63 divisors (see below), whose sum is σ = 3806108946003. Its totient is φ = 1576160997264.

The previous prime is 2449904257063. The next prime is 2449904257123. The reversal of 2449904257089 is 9807524099442.

The square root of 2449904257089 is 1565217.

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

2449904257089 is a `hidden beast` number, since 2 + 4 + 49 + 90 + 425 + 7 + 0 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1284670365489 + 1165233891600 = 1133433^2 + 1079460^2 .

It is not a de Polignac number, because 2449904257089 - 2¹⁵ = 2449904224321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2449904257189) 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 62 ways as a sum of consecutive naturals, for example, 1225563912 + ... + 1225565910.

Almost surely, 2^{2449904257089} is an apocalyptic number.

2449904257089 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2449904257089 is the 1565217-th square number.

2449904257089 is the 782609-th centered octagonal number.

It is an amenable number.

2449904257089 is a deficient number, since it is larger than the sum of its proper divisors (1356204688914).

2449904257089 is an frugal number, since it uses more digits than its factorization.

2449904257089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2449904257089 in words is "two trillion, four hundred forty-nine billion, nine hundred four million, two hundred fifty-seven thousand, eighty-nine".