2721801600 has 576 divisors, whose sum is σ = 11601757440. Its totient is φ = 594063360.

The previous prime is 2721801587. The next prime is 2721801617. The reversal of 2721801600 is 61081272.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 4636507 + ... + 4637093.

It is an arithmetic number, because the mean of its divisors is an integer number (20141940).

Almost surely, 2^2721801600 is an apocalyptic number.

2721801600 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 2721801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800878720).

2721801600 is an abundant number, since it is smaller than the sum of its proper divisors (8879955840).

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

2721801600 is a wasteful number, since it uses less digits than its factorization.

2721801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2721801600 is about 52170.8884340683. Note that the first 3 decimals coincide. The cubic root of 2721801600 is about 1396.2145356010.

Adding to 2721801600 its reverse (61081272), we get a palindrome (2782882872).

The spelling of 2721801600 in words is "two billion, seven hundred twenty-one million, eight hundred one thousand, six hundred".