2723880960 has 280 divisors, whose sum is σ = 9776915676. Its totient is φ = 725483520.

The previous prime is 2723880923. The next prime is 2723880977. The reversal of 2723880960 is 690883272.

It can be written as a sum of positive squares in 2 ways, for example, as 2627997696 + 95883264 = 51264^2 + 9792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317350 + ... + 3318170.

Almost surely, 2^2723880960 is an apocalyptic number.

2723880960 is a gapful number since it is divisible by the number (20) 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 2723880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888457838).

2723880960 is an abundant number, since it is smaller than the sum of its proper divisors (7053034716).

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

2723880960 is an frugal number, since it uses more digits than its factorization.

2723880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2723880960 is about 52190.8129846623. The cubic root of 2723880960 is about 1396.5699979105.

The spelling of 2723880960 in words is "two billion, seven hundred twenty-three million, eight hundred eighty thousand, nine hundred sixty".