2261405705 has 32 divisors (see below), whose sum is σ = 3160249344. Its totient is φ = 1538251776.

The previous prime is 2261405693. The next prime is 2261405737. The reversal of 2261405705 is 5075041622.

It is a cyclic number.

It is not a de Polignac number, because 2261405705 - 2⁸ = 2261405449 is a prime.

It is a super-3 number, since 3×2261405705³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30164 + ... + 73706.

It is an arithmetic number, because the mean of its divisors is an integer number (98757792).

Almost surely, 2^2261405705 is an apocalyptic number.

It is an amenable number.

2261405705 is a deficient number, since it is larger than the sum of its proper divisors (898843639).

2261405705 is a wasteful number, since it uses less digits than its factorization.

2261405705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43625.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 2261405705 is about 47554.2396112061. The cubic root of 2261405705 is about 1312.5811442500.

The spelling of 2261405705 in words is "two billion, two hundred sixty-one million, four hundred five thousand, seven hundred five".