541255040 has 64 divisors (see below), whose sum is σ = 1335726720. Its totient is φ = 209510400.

The previous prime is 541255037. The next prime is 541255049. The reversal of 541255040 is 40552145.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541255049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6200 + ... + 33480.

It is an arithmetic number, because the mean of its divisors is an integer number (20870730).

Almost surely, 2^541255040 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 541255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667863360).

541255040 is an abundant number, since it is smaller than the sum of its proper divisors (794471680).

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

541255040 is a wasteful number, since it uses less digits than its factorization.

541255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27331 (or 27319 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 541255040 is about 23264.8885662494. Note that the first 3 decimals coincide. The cubic root of 541255040 is about 814.9556677305.

The spelling of 541255040 in words is "five hundred forty-one million, two hundred fifty-five thousand, forty".