240408200220 has 96 divisors (see below), whose sum is σ = 681830085888. Its totient is φ = 63282819072.

The previous prime is 240408200171. The next prime is 240408200239. The reversal of 240408200220 is 22002804042.

240408200220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240408200220² (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6040827 + ... + 6080493.

It is an arithmetic number, because the mean of its divisors is an integer number (7102396728).

Almost surely, 2^240408200220 is an apocalyptic number.

240408200220 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 240408200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340915042944).

240408200220 is an abundant number, since it is smaller than the sum of its proper divisors (441421885668).

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

240408200220 is a wasteful number, since it uses less digits than its factorization.

240408200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40979 (or 40977 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 240408200220 in words is "two hundred forty billion, four hundred eight million, two hundred thousand, two hundred twenty".