2085415201 has 8 divisors (see below), whose sum is σ = 2215633320. Its totient is φ = 1959084288.

The previous prime is 2085415187. The next prime is 2085415207. The reversal of 2085415201 is 1025145802.

It can be written as a sum of positive squares in 4 ways, for example, as 1022720400 + 1062694801 = 31980^2 + 32599^2 .

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

It is not a de Polignac number, because 2085415201 - 2⁵ = 2085415169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2085415201.

It is not an unprimeable number, because it can be changed into a prime (2085415207) 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, 970696 + ... + 972841.

It is an arithmetic number, because the mean of its divisors is an integer number (276954165).

Almost surely, 2^2085415201 is an apocalyptic number.

It is an amenable number.

2085415201 is a deficient number, since it is larger than the sum of its proper divisors (130218119).

2085415201 is a wasteful number, since it uses less digits than its factorization.

2085415201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943603.

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 2085415201 is about 45666.3464818459. The cubic root of 2085415201 is about 1277.6076736463.

The spelling of 2085415201 in words is "two billion, eighty-five million, four hundred fifteen thousand, two hundred one".