5540646240 has 240 divisors, whose sum is σ = 20583929520. Its totient is φ = 1399680000.

The previous prime is 5540646217. The next prime is 5540646269. The reversal of 5540646240 is 426460455.

5540646240 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 646 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5540646240² = 61397521513652275200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5540646195 and 5540646204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234990 + ... + 257490.

It is an arithmetic number, because the mean of its divisors is an integer number (85766373).

Almost surely, 2^5540646240 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 5540646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291964760).

5540646240 is an abundant number, since it is smaller than the sum of its proper divisors (15043283280).

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

5540646240 is a wasteful number, since it uses less digits than its factorization.

5540646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22547 (or 22530 counting only the distinct ones).

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

The square root of 5540646240 is about 74435.5173287591. The cubic root of 5540646240 is about 1769.5118446984.

The spelling of 5540646240 in words is "five billion, five hundred forty million, six hundred forty-six thousand, two hundred forty".