2240334102321 has 96 divisors (see below), whose sum is σ = 3976699063680. Its totient is φ = 1241992144512.

The previous prime is 2240334102319. The next prime is 2240334102329. The reversal of 2240334102321 is 1232014330422.

2240334102321 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 334 + 1 + 0 + 2 + 321 = 666.

2240334102321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2240334102321 - 2¹ = 2240334102319 is a prime.

It is a super-3 number, since 3×2240334102321³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2240334102329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16920051 + ... + 17051943.

It is an arithmetic number, because the mean of its divisors is an integer number (41423948580).

Almost surely, 2^{2240334102321} is an apocalyptic number.

2240334102321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2240334102321 is a deficient number, since it is larger than the sum of its proper divisors (1736364961359).

2240334102321 is a wasteful number, since it uses less digits than its factorization.

2240334102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132300 (or 132287 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2240334102321 its reverse (1232014330422), we get a palindrome (3472348432743).

The spelling of 2240334102321 in words is "two trillion, two hundred forty billion, three hundred thirty-four million, one hundred two thousand, three hundred twenty-one".