2714842200 has 384 divisors, whose sum is σ = 10413619200. Its totient is φ = 570900480.

The previous prime is 2714842159. The next prime is 2714842201. The reversal of 2714842200 is 22484172.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714842201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3355396 + ... + 3356204.

It is an arithmetic number, because the mean of its divisors is an integer number (27118800).

Almost surely, 2^2714842200 is an apocalyptic number.

2714842200 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 2714842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206809600).

2714842200 is an abundant number, since it is smaller than the sum of its proper divisors (7698777000).

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

2714842200 is a wasteful number, since it uses less digits than its factorization.

2714842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2714842200 is about 52104.1476276121. The cubic root of 2714842200 is about 1395.0235219117.

The spelling of 2714842200 in words is "two billion, seven hundred fourteen million, eight hundred forty-two thousand, two hundred".