2541830208 has 112 divisors (see below), whose sum is σ = 7139269440. Its totient is φ = 795377664.

The previous prime is 2541830201. The next prime is 2541830209. The reversal of 2541830208 is 8020381452.

It is not an unprimeable number, because it can be changed into a prime (2541830201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1706328 + ... + 1707816.

Almost surely, 2^2541830208 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 2541830208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569634720).

2541830208 is an abundant number, since it is smaller than the sum of its proper divisors (4597439232).

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

2541830208 is a wasteful number, since it uses less digits than its factorization.

2541830208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2541830208 is about 50416.5668010030. The cubic root of 2541830208 is about 1364.7366213519.

The spelling of 2541830208 in words is "two billion, five hundred forty-one million, eight hundred thirty thousand, two hundred eight".