2240220434432 has 52 divisors (see below), whose sum is σ = 4482705246876. Its totient is φ = 1119407308800.

The previous prime is 2240220434411. The next prime is 2240220434437. The reversal of 2240220434432 is 2344340220422.

It can be written as a sum of positive squares in 2 ways, for example, as 2032517840896 + 207702593536 = 1425664^2 + 455744^2 .

It is a super-2 number, since 2×2240220434432² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2240220434437) 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 3 ways as a sum of consecutive naturals, for example, 6386888 + ... + 6728504.

Almost surely, 2^{2240220434432} 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 2240220434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241352623438).

2240220434432 is an abundant number, since it is smaller than the sum of its proper divisors (2242484812444).

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

2240220434432 is an equidigital number, since it uses as much as digits as its factorization.

2240220434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343242 (or 343220 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 2240220434432 its reverse (2344340220422), we get a palindrome (4584560654854).

The spelling of 2240220434432 in words is "two trillion, two hundred forty billion, two hundred twenty million, four hundred thirty-four thousand, four hundred thirty-two".