240690540288 has 144 divisors (see below), whose sum is σ = 703454798592. Its totient is φ = 72453120000.

The previous prime is 240690540263. The next prime is 240690540289. The reversal of 240690540288 is 882045096042.

It is a happy number.

It is a super-2 number, since 2×240690540288² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240690540289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181308 + ... + 1369988.

It is an arithmetic number, because the mean of its divisors is an integer number (4885102768).

Almost surely, 2^240690540288 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 240690540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351727399296).

240690540288 is an abundant number, since it is smaller than the sum of its proper divisors (462764258304).

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

240690540288 is a wasteful number, since it uses less digits than its factorization.

240690540288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188862 (or 188848 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 240690540288 in words is "two hundred forty billion, six hundred ninety million, five hundred forty thousand, two hundred eighty-eight".