2261606848507 has 16 divisors (see below), whose sum is σ = 2417085729792. Its totient is φ = 2108671488000.

The previous prime is 2261606848477. The next prime is 2261606848511. The reversal of 2261606848507 is 7058486061622.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2261606848507 is a prime.

It is a super-2 number, since 2×2261606848507² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2261606842507) 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 15 ways as a sum of consecutive naturals, for example, 674757 + ... + 2231257.

It is an arithmetic number, because the mean of its divisors is an integer number (151067858112).

Almost surely, 2^{2261606848507} is an apocalyptic number.

2261606848507 is a deficient number, since it is larger than the sum of its proper divisors (155478881285).

2261606848507 is a wasteful number, since it uses less digits than its factorization.

2261606848507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557318.

The product of its (nonzero) digits is 7741440, while the sum is 55.

It can be divided in two parts, 2261606 and 848507, that added together give a palindrome (3110113).

The spelling of 2261606848507 in words is "two trillion, two hundred sixty-one billion, six hundred six million, eight hundred forty-eight thousand, five hundred seven".