541222080 has 224 divisors, whose sum is σ = 2010607104. Its totient is φ = 120766464.

The previous prime is 541222079. The next prime is 541222111. The reversal of 541222080 is 80222145.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 541222080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288024 + ... + 289896.

Almost surely, 2^541222080 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 541222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005303552).

541222080 is an abundant number, since it is smaller than the sum of its proper divisors (1469385024).

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

541222080 is a wasteful number, since it uses less digits than its factorization.

541222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 541222080 is about 23264.1801918744. The cubic root of 541222080 is about 814.9391250152.

The spelling of 541222080 in words is "five hundred forty-one million, two hundred twenty-two thousand, eighty".