2428906890 has 128 divisors (see below), whose sum is σ = 6210846720. Its totient is φ = 606905600.

The previous prime is 2428906889. The next prime is 2428906993. The reversal of 2428906890 is 986098242.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7809835 + ... + 7810145.

It is an arithmetic number, because the mean of its divisors is an integer number (48522240).

Almost surely, 2^2428906890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428906890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105423360).

2428906890 is an abundant number, since it is smaller than the sum of its proper divisors (3781939830).

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

2428906890 is a wasteful number, since it uses less digits than its factorization.

2428906890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2428906890 is about 49283.9415022784. The cubic root of 2428906890 is about 1344.2198024419.

The spelling of 2428906890 in words is "two billion, four hundred twenty-eight million, nine hundred six thousand, eight hundred ninety".