2240013412320 has 48 divisors (see below), whose sum is σ = 7056042250320. Its totient is φ = 597336909824.

The previous prime is 2240013412279. The next prime is 2240013412327. The reversal of 2240013412320 is 232143100422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2240013412320³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240013412327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2333346825 + ... + 2333347784.

It is an arithmetic number, because the mean of its divisors is an integer number (147000880215).

Almost surely, 2^{2240013412320} is an apocalyptic number.

2240013412320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240013412320 is an abundant number, since it is smaller than the sum of its proper divisors (4816028838000).

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

2240013412320 is a wasteful number, since it uses less digits than its factorization.

2240013412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666694627 (or 4666694619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2240013412320 its reverse (232143100422), we get a palindrome (2472156512742).

The spelling of 2240013412320 in words is "two trillion, two hundred forty billion, thirteen million, four hundred twelve thousand, three hundred twenty".