2721708900 has 243 divisors, whose sum is σ = 8958364779. Its totient is φ = 691148160.

The previous prime is 2721708893. The next prime is 2721708917. The reversal of 2721708900 is 98071272.

The square root of 2721708900 is 52170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 258373476 + 2463335424 = 16074^2 + 49632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 57908677 + ... + 57908723.

Almost surely, 2^2721708900 is an apocalyptic number.

2721708900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2721708900 is the 52170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2721708900

2721708900 is an abundant number, since it is smaller than the sum of its proper divisors (6236655879).

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

2721708900 is a wasteful number, since it uses less digits than its factorization.

2721708900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The cubic root of 2721708900 is about 1396.1986845121.

Multiplying 2721708900 by its sum of digits (36), we get a square (97981520400 = 313020²).

2721708900 divided by its sum of digits (36) gives a square (75603025 = 8695²).

The spelling of 2721708900 in words is "two billion, seven hundred twenty-one million, seven hundred eight thousand, nine hundred".