541054640 has 160 divisors (see below), whose sum is σ = 1526807040. Its totient is φ = 174182400.

The previous prime is 541054637. The next prime is 541054643. The reversal of 541054640 is 46450145.

541054640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (541054637) and next prime (541054643).

It is not an unprimeable number, because it can be changed into a prime (541054643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244920 + ... + 2245160.

It is an arithmetic number, because the mean of its divisors is an integer number (9542544).

Almost surely, 2^541054640 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 541054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763403520).

541054640 is an abundant number, since it is smaller than the sum of its proper divisors (985752400).

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

541054640 is a wasteful number, since it uses less digits than its factorization.

541054640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 541054640 is about 23260.5812481116. The cubic root of 541054640 is about 814.8550760414.

The spelling of 541054640 in words is "five hundred forty-one million, fifty-four thousand, six hundred forty".