2428228242 has 72 divisors (see below), whose sum is σ = 5802821388. Its totient is φ = 733296960.

The previous prime is 2428228219. The next prime is 2428228277.

2428228242 is a `hidden beast` number, since 2 + 428 + 228 + 2 + 4 + 2 = 666.

2428228242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2427434361 + 793881 = 49269^2 + 891^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2428228197 and 2428228206.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 688668 + ... + 692184.

Almost surely, 2^2428228242 is an apocalyptic number.

2428228242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428228242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901410694).

2428228242 is an abundant number, since it is smaller than the sum of its proper divisors (3374593146).

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

2428228242 is a wasteful number, since it uses less digits than its factorization.

2428228242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3850 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 2428228242 is about 49277.0559388444. The cubic root of 2428228242 is about 1344.0945970034.

The spelling of 2428228242 in words is "two billion, four hundred twenty-eight million, two hundred twenty-eight thousand, two hundred forty-two".