2260083667 has 8 divisors (see below), whose sum is σ = 2276015040. Its totient is φ = 2244201960.

The previous prime is 2260083653. The next prime is 2260083671. The reversal of 2260083667 is 7663800622.

2260083667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2260083667 is a prime.

It is a super-3 number, since 3×2260083667³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2260783667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81384 + ... + 105562.

It is an arithmetic number, because the mean of its divisors is an integer number (284501880).

Almost surely, 2^2260083667 is an apocalyptic number.

2260083667 is a deficient number, since it is larger than the sum of its proper divisors (15931373).

2260083667 is a wasteful number, since it uses less digits than its factorization.

2260083667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24833.

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 2260083667 is about 47540.3372621609. The cubic root of 2260083667 is about 1312.3253121643.

The spelling of 2260083667 in words is "two billion, two hundred sixty million, eighty-three thousand, six hundred sixty-seven".