2711284900 has 81 divisors (see below), whose sum is σ = 6078345987. Its totient is φ = 1049731200.

The previous prime is 2711284871. The next prime is 2711284957. The reversal of 2711284900 is 94821172.

The square root of 2711284900 is 52070.

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 1141223524 + 1570061376 = 33782^2 + 39624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21348637 + ... + 21348763.

Almost surely, 2^2711284900 is an apocalyptic number.

2711284900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2711284900 is the 52070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2711284900

2711284900 is an abundant number, since it is smaller than the sum of its proper divisors (3367061087).

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

2711284900 is a wasteful number, since it uses less digits than its factorization.

2711284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The cubic root of 2711284900 is about 1394.4139485767.

The spelling of 2711284900 in words is "two billion, seven hundred eleven million, two hundred eighty-four thousand, nine hundred".