2628906 has 32 divisors (see below), whose sum is σ = 6127488. Its totient is φ = 736320.

The previous prime is 2628889. The next prime is 2628911. The reversal of 2628906 is 6098262.

It is a super-5 number, since 5×2628906⁵ (a number of 33 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636 + ... + 2816.

It is an arithmetic number, because the mean of its divisors is an integer number (191484).

2^2628906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063744).

2628906 is an abundant number, since it is smaller than the sum of its proper divisors (3498582).

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

2628906 is a wasteful number, since it uses less digits than its factorization.

2628906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2628906 is about 1621.3901442898. The cubic root of 2628906 is about 138.0145962297.

The spelling of 2628906 in words is "two million, six hundred twenty-eight thousand, nine hundred six".