2064007200 has 144 divisors (see below), whose sum is σ = 6749005536. Its totient is φ = 547891200.

The previous prime is 2064007193. The next prime is 2064007217. The reversal of 2064007200 is 27004602.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557355 + ... + 561045.

It is an arithmetic number, because the mean of its divisors is an integer number (46868094).

Almost surely, 2^2064007200 is an apocalyptic number.

2064007200 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 2064007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374502768).

2064007200 is an abundant number, since it is smaller than the sum of its proper divisors (4684998336).

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

2064007200 is a wasteful number, since it uses less digits than its factorization.

2064007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2064007200 is about 45431.3460069147. The cubic root of 2064007200 is about 1273.2208325693.

The spelling of 2064007200 in words is "two billion, sixty-four million, seven thousand, two hundred".