2761728000 has 448 divisors, whose sum is σ = 9814072320. Its totient is φ = 688128000.

The previous prime is 2761727999. The next prime is 2761728001. The reversal of 2761728000 is 8271672.

It is an interprime number because it is at equal distance from previous prime (2761727999) and next prime (2761728001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761728001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89087985 + ... + 89088015.

Almost surely, 2^2761728000 is an apocalyptic number.

2761728000 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 2761728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907036160).

2761728000 is an abundant number, since it is smaller than the sum of its proper divisors (7052344320).

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

2761728000 is an equidigital number, since it uses as much as digits as its factorization.

2761728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2761728000 is about 52552.1455318429. The cubic root of 2761728000 is about 1403.0084963196.

Adding to 2761728000 its reverse (8271672), we get a palindrome (2769999672).

The spelling of 2761728000 in words is "two billion, seven hundred sixty-one million, seven hundred twenty-eight thousand".