540245200000 has 384 divisors, whose sum is σ = 1477311696000. Its totient is φ = 195148800000.

The previous prime is 540245199973. The next prime is 540245200007. The reversal of 540245200000 is 2542045.

It is a super-2 number, since 2×540245200000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (540245200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875599692 + ... + 875600308.

It is an arithmetic number, because the mean of its divisors is an integer number (3847165875).

Almost surely, 2^540245200000 is an apocalyptic number.

540245200000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540245200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738655848000).

540245200000 is an abundant number, since it is smaller than the sum of its proper divisors (937066496000).

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

540245200000 is an equidigital number, since it uses as much as digits as its factorization.

540245200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Adding to 540245200000 its reverse (2542045), we get a palindrome (540247742045).

The spelling of 540245200000 in words is "five hundred forty billion, two hundred forty-five million, two hundred thousand".