2241200663840 has 96 divisors (see below), whose sum is σ = 5308597511280. Its totient is φ = 894153129984.

The previous prime is 2241200663833. The next prime is 2241200663857. The reversal of 2241200663840 is 483660021422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2067648436624 + 173552227216 = 1437932^2 + 416596^2 .

It is a super-3 number, since 3×2241200663840³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2241200663794 and 2241200663803.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 113451404 + ... + 113471156.

Almost surely, 2^{2241200663840} is an apocalyptic number.

2241200663840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241200663840 is an abundant number, since it is smaller than the sum of its proper divisors (3067396847440).

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

2241200663840 is a wasteful number, since it uses less digits than its factorization.

2241200663840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21574 (or 21566 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 2241200663840 in words is "two trillion, two hundred forty-one billion, two hundred million, six hundred sixty-three thousand, eight hundred forty".