2820459664 has 135 divisors (see below), whose sum is σ = 6471835993. Its totient is φ = 1189619200.

The previous prime is 2820459661. The next prime is 2820459667. The reversal of 2820459664 is 4669540282.

The square root of 2820459664 is 53108.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2820459661) and next prime (2820459667).

It can be written as a sum of positive squares in only one way, i.e., 2195859600 + 624600064 = 46860^2 + 24992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2820459661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39724749 + ... + 39724819.

Almost surely, 2^2820459664 is an apocalyptic number.

2820459664 is the 53108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820459664

2820459664 is an abundant number, since it is smaller than the sum of its proper divisors (3651376329).

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

2820459664 is a wasteful number, since it uses less digits than its factorization.

2820459664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The cubic root of 2820459664 is about 1412.8844034203.

The spelling of 2820459664 in words is "two billion, eight hundred twenty million, four hundred fifty-nine thousand, six hundred sixty-four".