5540754240 has 672 divisors, whose sum is σ = 23805123840. Its totient is φ = 1188200448.

The previous prime is 5540754209. The next prime is 5540754259. The reversal of 5540754240 is 424570455.

It is a happy number.

5540754240 is a `hidden beast` number, since 5 + 5 + 407 + 5 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5540754195 and 5540754204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17478562 + ... + 17478878.

Almost surely, 2^5540754240 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 5540754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902561920).

5540754240 is an abundant number, since it is smaller than the sum of its proper divisors (18264369600).

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

5540754240 is a wasteful number, since it uses less digits than its factorization.

5540754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 5540754240 is about 74436.2427853529. The cubic root of 5540754240 is about 1769.5233419155.

The spelling of 5540754240 in words is "five billion, five hundred forty million, seven hundred fifty-four thousand, two hundred forty".