540261050240 has 256 divisors, whose sum is σ = 1370619532800. Its totient is φ = 203221032960.

The previous prime is 540261050183. The next prime is 540261050279. The reversal of 540261050240 is 42050162045.

It is a congruent number.

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, 279782075 + ... + 279784005.

It is an arithmetic number, because the mean of its divisors is an integer number (5353982550).

Almost surely, 2^540261050240 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 540261050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685309766400).

540261050240 is an abundant number, since it is smaller than the sum of its proper divisors (830358482560).

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

540261050240 is a wasteful number, since it uses less digits than its factorization.

540261050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 540261050240 in words is "five hundred forty billion, two hundred sixty-one million, fifty thousand, two hundred forty".