541245680 has 80 divisors (see below), whose sum is σ = 1287801504. Its totient is φ = 211491840.

The previous prime is 541245673. The next prime is 541245721. The reversal of 541245680 is 86542145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×541245680² = 585893772237324800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 541245680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961079 + ... + 961641.

Almost surely, 2^541245680 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 541245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643900752).

541245680 is an abundant number, since it is smaller than the sum of its proper divisors (746555824).

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

541245680 is a wasteful number, since it uses less digits than its factorization.

541245680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 541245680 is about 23264.6874038746. The cubic root of 541245680 is about 814.9509699888.

The spelling of 541245680 in words is "five hundred forty-one million, two hundred forty-five thousand, six hundred eighty".