2117628 has 36 divisors (see below), whose sum is σ = 5449080. Its totient is φ = 693216.

The previous prime is 2117623. The next prime is 2117651. The reversal of 2117628 is 8267112.

2117628 is a `hidden beast` number, since 21 + 17 + 628 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1626 + ... + 2622.

2^2117628 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 2117628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724540).

2117628 is an abundant number, since it is smaller than the sum of its proper divisors (3331452).

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

2117628 is a wasteful number, since it uses less digits than its factorization.

2117628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1061 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2117628 is about 1455.2072017414. The cubic root of 2117628 is about 128.4152367862.

The spelling of 2117628 in words is "two million, one hundred seventeen thousand, six hundred twenty-eight".