2064329280 has 224 divisors, whose sum is σ = 7843113600. Its totient is φ = 508114944.

The previous prime is 2064329273. The next prime is 2064329287. The reversal of 2064329280 is 829234602.

2064329280 is a `hidden beast` number, since 2 + 0 + 643 + 2 + 9 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2064329273) and next prime (2064329287).

It is a super-2 number, since 2×2064329280² = 8522910752530636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2064329287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 103131 + ... + 121509.

It is an arithmetic number, because the mean of its divisors is an integer number (35013900).

Almost surely, 2^2064329280 is an apocalyptic number.

2064329280 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 2064329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921556800).

2064329280 is an abundant number, since it is smaller than the sum of its proper divisors (5778784320).

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

2064329280 is a wasteful number, since it uses less digits than its factorization.

2064329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18418 (or 18402 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2064329280 is about 45434.8905578081. The cubic root of 2064329280 is about 1273.2870561169.

The spelling of 2064329280 in words is "two billion, sixty-four million, three hundred twenty-nine thousand, two hundred eighty".