2064828480 has 448 divisors, whose sum is σ = 7834579200. Its totient is φ = 456867840.

The previous prime is 2064828421. The next prime is 2064828503. The reversal of 2064828480 is 848284602.

It is a super-2 number, since 2×2064828480² = 8527033303638220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23200276 + ... + 23200364.

It is an arithmetic number, because the mean of its divisors is an integer number (17487900).

Almost surely, 2^2064828480 is an apocalyptic number.

2064828480 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 2064828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917289600).

2064828480 is an abundant number, since it is smaller than the sum of its proper divisors (5769750720).

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

2064828480 is a wasteful number, since it uses less digits than its factorization.

2064828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 2064828480 is about 45440.3838011960. The cubic root of 2064828480 is about 1273.3896840706.

The spelling of 2064828480 in words is "two billion, sixty-four million, eight hundred twenty-eight thousand, four hundred eighty".