2716384900 has 72 divisors (see below), whose sum is σ = 6051878280. Its totient is φ = 1057920000.

The previous prime is 2716384883. The next prime is 2716384921. The reversal of 2716384900 is 94836172.

It can be written as a sum of positive squares in 12 ways, for example, as 1390842436 + 1325542464 = 37294^2 + 36408^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613896 + ... + 618304.

It is an arithmetic number, because the mean of its divisors is an integer number (84053865).

Almost surely, 2^2716384900 is an apocalyptic number.

2716384900 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 2716384900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025939140).

2716384900 is an abundant number, since it is smaller than the sum of its proper divisors (3335493380).

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

2716384900 is a wasteful number, since it uses less digits than its factorization.

2716384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 2716384900 is about 52118.9495289381. The cubic root of 2716384900 is about 1395.2877110266.

The spelling of 2716384900 in words is "two billion, seven hundred sixteen million, three hundred eighty-four thousand, nine hundred".