2084264 has 48 divisors (see below), whose sum is σ = 4907700. Its totient is φ = 822528.

The previous prime is 2084263. The next prime is 2084273. The reversal of 2084264 is 4624802.

It can be written as a sum of positive squares in 2 ways, for example, as 2079364 + 4900 = 1442^2 + 70^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2084263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4892 + ... + 5300.

2^2084264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453850).

2084264 is an abundant number, since it is smaller than the sum of its proper divisors (2823436).

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

2084264 is a wasteful number, since it uses less digits than its factorization.

2084264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2084264 is about 1443.6980293676. The cubic root of 2084264 is about 127.7372539982.

The spelling of 2084264 in words is "two million, eighty-four thousand, two hundred sixty-four".