2731344900 has 144 divisors (see below), whose sum is σ = 8187809280. Its totient is φ = 702259200.

The previous prime is 2731344893. The next prime is 2731344947. The reversal of 2731344900 is 94431372.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4733412 + ... + 4733988.

Almost surely, 2^2731344900 is an apocalyptic number.

2731344900 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 2731344900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093904640).

2731344900 is an abundant number, since it is smaller than the sum of its proper divisors (5456464380).

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

2731344900 is a wasteful number, since it uses less digits than its factorization.

2731344900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2731344900 is about 52262.2703295599. The cubic root of 2731344900 is about 1397.8444549733.

The spelling of 2731344900 in words is "two billion, seven hundred thirty-one million, three hundred forty-four thousand, nine hundred".