2085264 has 50 divisors (see below), whose sum is σ = 6039110. Its totient is φ = 694656.

The previous prime is 2085257. The next prime is 2085287. The reversal of 2085264 is 4625802.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 11664 = 1440^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 492 + ... + 2100.

2^2085264 is an apocalyptic number.

2085264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019555).

2085264 is an abundant number, since it is smaller than the sum of its proper divisors (3953846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2085264 is a wasteful number, since it uses less digits than its factorization.

2085264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2085264 is about 1444.0443206495. The cubic root of 2085264 is about 127.7576795666.

The spelling of 2085264 in words is "two million, eighty-five thousand, two hundred sixty-four".