540225640260 has 144 divisors (see below), whose sum is σ = 1684182217536. Its totient is φ = 140065963776.

The previous prime is 540225640259. The next prime is 540225640261. The reversal of 540225640260 is 62046522045.

540225640260 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 2 + 5 + 640 + 2 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (540225640259) and next prime (540225640261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (540225640261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9475399 + ... + 9532241.

It is an arithmetic number, because the mean of its divisors is an integer number (11695709844).

Almost surely, 2^540225640260 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 540225640260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842091108768).

540225640260 is an abundant number, since it is smaller than the sum of its proper divisors (1143956577276).

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

540225640260 is a wasteful number, since it uses less digits than its factorization.

540225640260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58322 (or 58317 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 540225640260 in words is "five hundred forty billion, two hundred twenty-five million, six hundred forty thousand, two hundred sixty".