2628036 has 36 divisors (see below), whose sum is σ = 6826092. Its totient is φ = 851904.

The previous prime is 2627993. The next prime is 2628053. The reversal of 2628036 is 6308262.

2628036 is a `hidden beast` number, since 2 + 628 + 0 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1512900 + 1115136 = 1230^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 2318.

2^2628036 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 2628036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413046).

2628036 is an abundant number, since it is smaller than the sum of its proper divisors (4198056).

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

2628036 is a wasteful number, since it uses less digits than its factorization.

2628036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2628036 is about 1621.1218337929. The cubic root of 2628036 is about 137.9993698774. Note that the first 3 decimals are identical.

The spelling of 2628036 in words is "two million, six hundred twenty-eight thousand, thirty-six".