2720456964 has 27 divisors (see below), whose sum is σ = 6877501813. Its totient is φ = 906714672.

The previous prime is 2720456941. The next prime is 2720457007. The reversal of 2720456964 is 4696540272.

The square root of 2720456964 is 52158.

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

2720456964 is a `hidden beast` number, since 2 + 7 + 20 + 4 + 569 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139004100 + 2581452864 = 11790^2 + 50808^2 .

It is a super-3 number, since 3×2720456964³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 308602 + ... + 317294.

Almost surely, 2^2720456964 is an apocalyptic number.

2720456964 is the 52158-th square number.

It is an amenable number.

2720456964 is an abundant number, since it is smaller than the sum of its proper divisors (4157044849).

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

2720456964 is an frugal number, since it uses more digits than its factorization.

2720456964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17396 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The cubic root of 2720456964 is about 1395.9845764477.

It can be divided in two parts, 2720 and 456964, that added together give a square (459684 = 678²).

The spelling of 2720456964 in words is "two billion, seven hundred twenty million, four hundred fifty-six thousand, nine hundred sixty-four".