2714826816 has 189 divisors, whose sum is σ = 8476945581. Its totient is φ = 830329344.

The previous prime is 2714826809. The next prime is 2714826841. The reversal of 2714826816 is 6186284172.

The square root of 2714826816 is 52104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 401601600 + 2313225216 = 20040^2 + 48096^2 .

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, 16256365 + ... + 16256531.

Almost surely, 2^2714826816 is an apocalyptic number.

2714826816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2714826816 is the 52104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2714826816

2714826816 is an abundant number, since it is smaller than the sum of its proper divisors (5762118765).

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

2714826816 is a wasteful number, since it uses less digits than its factorization.

2714826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 185 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The cubic root of 2714826816 is about 1395.0208868804.

The spelling of 2714826816 in words is "two billion, seven hundred fourteen million, eight hundred twenty-six thousand, eight hundred sixteen".