2064000000 has 308 divisors, whose sum is σ = 7036472432. Its totient is φ = 537600000.

The previous prime is 2063999999. The next prime is 2064000011. The reversal of 2064000000 is 4602.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2064000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47999979 + ... + 48000021.

Almost surely, 2^2064000000 is an apocalyptic number.

2064000000 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 2064000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518236216).

2064000000 is an abundant number, since it is smaller than the sum of its proper divisors (4972472432).

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

2064000000 is an frugal number, since it uses more digits than its factorization.

2064000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2064000000 is about 45431.2667664022. The cubic root of 2064000000 is about 1273.2193520834.

Adding to 2064000000 its reverse (4602), we get a palindrome (2064004602).

It can be divided in two parts, 206 and 4000000, that added together give a triangular number (4000206 = T₂₈₂₈).

The spelling of 2064000000 in words is "two billion, sixty-four million", and thus it is an aban number and an eban number.