2228520 has 96 divisors (see below), whose sum is σ = 7797600. Its totient is φ = 508032.

The previous prime is 2228519. The next prime is 2228521. The reversal of 2228520 is 258222.

It is an interprime number because it is at equal distance from previous prime (2228519) and next prime (2228521).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2228521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5691 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (81225).

2^2228520 is an apocalyptic number.

2228520 is a gapful number since it is divisible by the number (20) 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 2228520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898800).

2228520 is an abundant number, since it is smaller than the sum of its proper divisors (5569080).

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

2228520 is a wasteful number, since it uses less digits than its factorization.

2228520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2228520 is about 1492.8228294074. The cubic root of 2228520 is about 130.6187466005.

The spelling of 2228520 in words is "two million, two hundred twenty-eight thousand, five hundred twenty".