2723582664 has 128 divisors (see below), whose sum is σ = 8687808000. Its totient is φ = 781876800.

The previous prime is 2723582639. The next prime is 2723582669. The reversal of 2723582664 is 4662853272.

2723582664 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 582 + 6 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (2723582669) 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, 14979 + ... + 75309.

It is an arithmetic number, because the mean of its divisors is an integer number (67873500).

Almost surely, 2^2723582664 is an apocalyptic number.

2723582664 is a gapful number since it is divisible by the number (24) 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 2723582664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343904000).

2723582664 is an abundant number, since it is smaller than the sum of its proper divisors (5964225336).

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

2723582664 is a wasteful number, since it uses less digits than its factorization.

2723582664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60376 (or 60366 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2723582664 is about 52187.9551620870. The cubic root of 2723582664 is about 1396.5190159405.

It can be divided in two parts, 27235826 and 64, that added together give a triangular number (27235890 = T₇₃₈₀).

The spelling of 2723582664 in words is "two billion, seven hundred twenty-three million, five hundred eighty-two thousand, six hundred sixty-four".