2233442011240 has 256 divisors, whose sum is σ = 5604172323840. Its totient is φ = 800946432000.

The previous prime is 2233442011219. The next prime is 2233442011267. The reversal of 2233442011240 is 421102443322.

It is a junction number, because it is equal to n+sod(n) for n = 2233442011199 and 2233442011208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1683075457 + ... + 1683076783.

It is an arithmetic number, because the mean of its divisors is an integer number (21891298140).

Almost surely, 2^{2233442011240} is an apocalyptic number.

2233442011240 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 2233442011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802086161920).

2233442011240 is an abundant number, since it is smaller than the sum of its proper divisors (3370730312600).

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

2233442011240 is a wasteful number, since it uses less digits than its factorization.

2233442011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2233442011240 its reverse (421102443322), we get a palindrome (2654544454562).

The spelling of 2233442011240 in words is "two trillion, two hundred thirty-three billion, four hundred forty-two million, eleven thousand, two hundred forty".