2064008520 has 256 divisors, whose sum is σ = 8117452800. Its totient is φ = 456503040.

The previous prime is 2064008509. The next prime is 2064008533. The reversal of 2064008520 is 258004602.

2064008520 is a `hidden beast` number, since 206 + 400 + 8 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 229957 + ... + 238763.

It is an arithmetic number, because the mean of its divisors is an integer number (31708800).

Almost surely, 2^2064008520 is an apocalyptic number.

2064008520 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 2064008520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058726400).

2064008520 is an abundant number, since it is smaller than the sum of its proper divisors (6053444280).

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

2064008520 is a wasteful number, since it uses less digits than its factorization.

2064008520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2064008520 is about 45431.3605343269. The cubic root of 2064008520 is about 1273.2211039913.

The spelling of 2064008520 in words is "two billion, sixty-four million, eight thousand, five hundred twenty".