2190406585 has 16 divisors (see below), whose sum is σ = 2642432256. Its totient is φ = 1743052608.

The previous prime is 2190406499. The next prime is 2190406607. The reversal of 2190406585 is 5856040912.

It is a cyclic number.

It is not a de Polignac number, because 2190406585 - 2⁹ = 2190406073 is a prime.

It is a super-2 number, since 2×2190406585² = 9595762015222724450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1227604 + ... + 1229386.

It is an arithmetic number, because the mean of its divisors is an integer number (165152016).

Almost surely, 2^2190406585 is an apocalyptic number.

It is an amenable number.

2190406585 is a deficient number, since it is larger than the sum of its proper divisors (452025671).

2190406585 is a wasteful number, since it uses less digits than its factorization.

2190406585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952.

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 2190406585 is about 46801.7797204337. The cubic root of 2190406585 is about 1298.6982205424.

It can be divided in two parts, 219040 and 6585, that added together give a square (225625 = 475²).

The spelling of 2190406585 in words is "two billion, one hundred ninety million, four hundred six thousand, five hundred eighty-five".