541054080 has 576 divisors, whose sum is σ = 2285599680. Its totient is φ = 121927680.

The previous prime is 541054061. The next prime is 541054097. The reversal of 541054080 is 80450145.

541054080 is a `hidden beast` number, since 5 + 41 + 0 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620445 + ... + 7620515.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^541054080 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 541054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142799840).

541054080 is an abundant number, since it is smaller than the sum of its proper divisors (1744545600).

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

541054080 is an equidigital number, since it uses as much as digits as its factorization.

541054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 541054080 is about 23260.5692105761. The cubic root of 541054080 is about 814.8547949121.

It can be divided in two parts, 54105 and 4080, that added together give a palindrome (58185).

The spelling of 541054080 in words is "five hundred forty-one million, fifty-four thousand, eighty".