2126628 has 96 divisors (see below), whose sum is σ = 6585600. Its totient is φ = 580608.

The previous prime is 2126627. The next prime is 2126633. The reversal of 2126628 is 8266212.

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

It is not an unprimeable number, because it can be changed into a prime (2126623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21876 + ... + 21972.

It is an arithmetic number, because the mean of its divisors is an integer number (68600).

2^2126628 is an apocalyptic number.

2126628 is a gapful number since it is divisible by the number (28) 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 2126628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292800).

2126628 is an abundant number, since it is smaller than the sum of its proper divisors (4458972).

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

2126628 is a wasteful number, since it uses less digits than its factorization.

2126628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2126628 is about 1458.2962661956. The cubic root of 2126628 is about 128.5969028889.

The spelling of 2126628 in words is "two million, one hundred twenty-six thousand, six hundred twenty-eight".