540701280 has 432 divisors, whose sum is σ = 2195968320. Its totient is φ = 120766464.

The previous prime is 540701279. The next prime is 540701309. The reversal of 540701280 is 82107045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5574192 + ... + 5574288.

It is an arithmetic number, because the mean of its divisors is an integer number (5083260).

Almost surely, 2^540701280 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 540701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097984160).

540701280 is an abundant number, since it is smaller than the sum of its proper divisors (1655267040).

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

540701280 is a wasteful number, since it uses less digits than its factorization.

540701280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 540701280 is about 23252.9843245980. The cubic root of 540701280 is about 814.6776448576.

The spelling of 540701280 in words is "five hundred forty million, seven hundred one thousand, two hundred eighty".