2674538496 has 288 divisors, whose sum is σ = 9301219200. Its totient is φ = 723271680.

The previous prime is 2674538459. The next prime is 2674538497. The reversal of 2674538496 is 6948354762.

2674538496 is a `hidden beast` number, since 2 + 67 + 4 + 538 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674538497) 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 23 ways as a sum of consecutive naturals, for example, 2450911 + ... + 2452001.

It is an arithmetic number, because the mean of its divisors is an integer number (32295900).

Almost surely, 2^2674538496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2674538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650609600).

2674538496 is an abundant number, since it is smaller than the sum of its proper divisors (6626680704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2674538496 is a wasteful number, since it uses less digits than its factorization.

2674538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1122 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 2674538496 is about 51715.9404439289. The cubic root of 2674538496 is about 1388.0857136591.

The spelling of 2674538496 in words is "two billion, six hundred seventy-four million, five hundred thirty-eight thousand, four hundred ninety-six".