2262456004641 has 8 divisors (see below), whose sum is σ = 3447552007104. Its totient is φ = 1292832002640.

The previous prime is 2262456004469. The next prime is 2262456004643. The reversal of 2262456004641 is 1464006542622.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2262456004641 - 2¹⁰ = 2262456003617 is a prime.

It is a super-2 number, since 2×2262456004641² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2262456004593 and 2262456004602.

It is not an unprimeable number, because it can be changed into a prime (2262456004643) 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, 53868000090 + ... + 53868000131.

It is an arithmetic number, because the mean of its divisors is an integer number (430944000888).

Almost surely, 2^{2262456004641} is an apocalyptic number.

2262456004641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2262456004641 is a deficient number, since it is larger than the sum of its proper divisors (1185096002463).

2262456004641 is a wasteful number, since it uses less digits than its factorization.

2262456004641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107736000231.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 2262456004641 in words is "two trillion, two hundred sixty-two billion, four hundred fifty-six million, four thousand, six hundred forty-one".