240860000640 has 512 divisors, whose sum is σ = 912457728000. Its totient is φ = 52881776640.

The previous prime is 240860000617. The next prime is 240860000681. The reversal of 240860000640 is 46000068042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240860000598 and 240860000607.

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 63 ways as a sum of consecutive naturals, for example, 57910881 + ... + 57915039.

It is an arithmetic number, because the mean of its divisors is an integer number (1782144000).

Almost surely, 2^240860000640 is an apocalyptic number.

240860000640 is a gapful number since it is divisible by the number (20) 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 240860000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456228864000).

240860000640 is an abundant number, since it is smaller than the sum of its proper divisors (671597727360).

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

240860000640 is a wasteful number, since it uses less digits than its factorization.

240860000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 240860000640 its reverse (46000068042), we get a palindrome (286860068682).

The spelling of 240860000640 in words is "two hundred forty billion, eight hundred sixty million, six hundred forty", and thus it is an aban number.