2541455808 has 112 divisors (see below), whose sum is σ = 7120859520. Its totient is φ = 797727744.

The previous prime is 2541455797. The next prime is 2541455809. The reversal of 2541455808 is 8085541452.

2541455808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2541455808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541455809) 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, 629091 + ... + 633117.

Almost surely, 2^2541455808 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 2541455808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560429760).

2541455808 is an abundant number, since it is smaller than the sum of its proper divisors (4579403712).

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

2541455808 is a wasteful number, since it uses less digits than its factorization.

2541455808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 42.

The square root of 2541455808 is about 50412.8535990575. The cubic root of 2541455808 is about 1364.6696115678.

The spelling of 2541455808 in words is "two billion, five hundred forty-one million, four hundred fifty-five thousand, eight hundred eight".