2664973584 has 360 divisors, whose sum is σ = 9898663320. Its totient is φ = 661118976.

The previous prime is 2664973541. The next prime is 2664973609. The reversal of 2664973584 is 4853794662.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 2582672400 = 9072^2 + 50820^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2664973584.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1558522 + ... + 1560230.

It is an arithmetic number, because the mean of its divisors is an integer number (27496287).

Almost surely, 2^2664973584 is an apocalyptic number.

2664973584 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 2664973584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949331660).

2664973584 is an abundant number, since it is smaller than the sum of its proper divisors (7233689736).

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

2664973584 is a wasteful number, since it uses less digits than its factorization.

2664973584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1751 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 2664973584 is about 51623.3821441408. The cubic root of 2664973584 is about 1386.4290070799.

The spelling of 2664973584 in words is "two billion, six hundred sixty-four million, nine hundred seventy-three thousand, five hundred eighty-four".