2000415228 has 144 divisors (see below), whose sum is σ = 5966311680. Its totient is φ = 509497344.

The previous prime is 2000415223. The next prime is 2000415229. The reversal of 2000415228 is 8225140002.

It is a super-2 number, since 2×2000415228² = 8003322168828583968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000415198 and 2000415207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000415223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459076 + ... + 463412.

It is an arithmetic number, because the mean of its divisors is an integer number (41432720).

Almost surely, 2^2000415228 is an apocalyptic number.

2000415228 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 2000415228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983155840).

2000415228 is an abundant number, since it is smaller than the sum of its proper divisors (3965896452).

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

2000415228 is a wasteful number, since it uses less digits than its factorization.

2000415228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2000415228 is about 44726.0016992353. The cubic root of 2000415228 is about 1260.0082362777.

The spelling of 2000415228 in words is "two billion, four hundred fifteen thousand, two hundred twenty-eight".