2261265600006 has 64 divisors (see below), whose sum is σ = 5776092864000. Its totient is φ = 642341324448.

The previous prime is 2261265599921. The next prime is 2261265600007. The reversal of 2261265600006 is 6000065621622.

2261265600006 is a `hidden beast` number, since 2 + 26 + 1 + 26 + 5 + 600 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×2261265600006² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261265600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17224156 + ... + 17354943.

It is an arithmetic number, because the mean of its divisors is an integer number (90251451000).

Almost surely, 2^{2261265600006} is an apocalyptic number.

2261265600006 is an abundant number, since it is smaller than the sum of its proper divisors (3514827263994).

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

2261265600006 is a wasteful number, since it uses less digits than its factorization.

2261265600006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34579290 (or 34579284 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2261265600006 in words is "two trillion, two hundred sixty-one billion, two hundred sixty-five million, six hundred thousand, six".