2064431440 has 40 divisors (see below), whose sum is σ = 4802226120. Its totient is φ = 825355776.

The previous prime is 2064431423. The next prime is 2064431449. The reversal of 2064431440 is 441344602.

It can be written as a sum of positive squares in 4 ways, for example, as 293368384 + 1771063056 = 17128^2 + 42084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2064431399 and 2064431408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064431449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189666 + ... + 200254.

It is an arithmetic number, because the mean of its divisors is an integer number (120055653).

Almost surely, 2^2064431440 is an apocalyptic number.

2064431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064431440 is an abundant number, since it is smaller than the sum of its proper divisors (2737794680).

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

2064431440 is a wasteful number, since it uses less digits than its factorization.

2064431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2064431440 is about 45436.0147900319. The cubic root of 2064431440 is about 1273.3080600108.

The spelling of 2064431440 in words is "two billion, sixty-four million, four hundred thirty-one thousand, four hundred forty".