2241105856335 has 192 divisors, whose sum is σ = 4372863086592. Its totient is φ = 1096711612416.

The previous prime is 2241105856303. The next prime is 2241105856337. The reversal of 2241105856335 is 5336585011422.

It is a happy number.

2241105856335 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 1 + 0 + 5 + 8 + 5 + 633 + 5 = 666.

It is not a de Polignac number, because 2241105856335 - 2⁵ = 2241105856303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241105856337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 539114077 + ... + 539118233.

It is an arithmetic number, because the mean of its divisors is an integer number (22775328576).

Almost surely, 2^{2241105856335} is an apocalyptic number.

2241105856335 is a deficient number, since it is larger than the sum of its proper divisors (2131757230257).

2241105856335 is a wasteful number, since it uses less digits than its factorization.

2241105856335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2241105856335 in words is "two trillion, two hundred forty-one billion, one hundred five million, eight hundred fifty-six thousand, three hundred thirty-five".