2716631200 has 144 divisors (see below), whose sum is σ = 6965554176. Its totient is φ = 1032627200.

The previous prime is 2716631189. The next prime is 2716631201. The reversal of 2716631200 is 21366172.

It is not an unprimeable number, because it can be changed into a prime (2716631201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3514014 + ... + 3514786.

It is an arithmetic number, because the mean of its divisors is an integer number (48371904).

Almost surely, 2^2716631200 is an apocalyptic number.

2716631200 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 2716631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482777088).

2716631200 is an abundant number, since it is smaller than the sum of its proper divisors (4248922976).

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

2716631200 is a wasteful number, since it uses less digits than its factorization.

2716631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2716631200 is about 52121.3123395795. The cubic root of 2716631200 is about 1395.3298809190.

Adding to 2716631200 its reverse (21366172), we get a palindrome (2737997372).

The spelling of 2716631200 in words is "two billion, seven hundred sixteen million, six hundred thirty-one thousand, two hundred".