5214540240 has 800 divisors, whose sum is σ = 22988528640. Its totient is φ = 1065996288.

The previous prime is 5214540239. The next prime is 5214540251. The reversal of 5214540240 is 420454125.

5214540240 is a `hidden beast` number, since 5 + 214 + 5 + 402 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21818041 + ... + 21818279.

Almost surely, 2^5214540240 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 5214540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494264320).

5214540240 is an abundant number, since it is smaller than the sum of its proper divisors (17773988400).

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

5214540240 is a wasteful number, since it uses less digits than its factorization.

5214540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5214540240 is about 72211.7735552867. The cubic root of 5214540240 is about 1734.0914931190.

Adding to 5214540240 its reverse (420454125), we get a palindrome (5634994365).

The spelling of 5214540240 in words is "five billion, two hundred fourteen million, five hundred forty thousand, two hundred forty".