540212640 has 192 divisors, whose sum is σ = 1876597632. Its totient is φ = 129536000.

The previous prime is 540212639. The next prime is 540212653. The reversal of 540212640 is 46212045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 540212640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532774 + ... + 533786.

It is an arithmetic number, because the mean of its divisors is an integer number (9773946).

Almost surely, 2^540212640 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 540212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938298816).

540212640 is an abundant number, since it is smaller than the sum of its proper divisors (1336384992).

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

540212640 is a wasteful number, since it uses less digits than its factorization.

540212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540212640 is about 23242.4749112482. The cubic root of 540212640 is about 814.4321586852.

Adding to 540212640 its reverse (46212045), we get a palindrome (586424685).

The spelling of 540212640 in words is "five hundred forty million, two hundred twelve thousand, six hundred forty".