6540242940 has 288 divisors, whose sum is σ = 25651551744. Its totient is φ = 1358933760.

The previous prime is 6540242927. The next prime is 6540242953. The reversal of 6540242940 is 492420456.

6540242940 is a `hidden beast` number, since 6 + 540 + 24 + 2 + 94 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6540242927) and next prime (6540242953).

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 = 6540242895 and 6540242904.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 365482 + ... + 382958.

It is an arithmetic number, because the mean of its divisors is an integer number (89067888).

Almost surely, 2^6540242940 is an apocalyptic number.

6540242940 is a gapful number since it is divisible by the number (60) 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 6540242940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825775872).

6540242940 is an abundant number, since it is smaller than the sum of its proper divisors (19111308804).

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

6540242940 is a wasteful number, since it uses less digits than its factorization.

6540242940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17519 (or 17505 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6540242940 is about 80871.7684980364. The cubic root of 6540242940 is about 1870.0991244509.

The spelling of 6540242940 in words is "six billion, five hundred forty million, two hundred forty-two thousand, nine hundred forty".