240440022240 has 192 divisors, whose sum is σ = 874841990400. Its totient is φ = 54859735040.

The previous prime is 240440022211. The next prime is 240440022259. The reversal of 240440022240 is 42220044042.

It is a super-2 number, since 2×240440022240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 240440022240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249590 + ... + 1429109.

It is an arithmetic number, because the mean of its divisors is an integer number (4556468700).

Almost surely, 2^240440022240 is an apocalyptic number.

240440022240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240440022240 is an abundant number, since it is smaller than the sum of its proper divisors (634401968160).

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

240440022240 is a wasteful number, since it uses less digits than its factorization.

240440022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678745 (or 2678737 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 240440022240 its reverse (42220044042), we get a palindrome (282660066282).

The spelling of 240440022240 in words is "two hundred forty billion, four hundred forty million, twenty-two thousand, two hundred forty".