2714552808100 has 81 divisors (see below), whose sum is σ = 6852598015683. Its totient is φ = 930664277760.

The previous prime is 2714552808089. The next prime is 2714552808101. The reversal of 2714552808100 is 18082554172.

The square root of 2714552808100 is 1647590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 266629715044 + 2447923093056 = 516362^2 + 1564584^2 .

It is a super-2 number, since 2×2714552808100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2714552808101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115319532 + ... + 115343068.

Almost surely, 2^{2714552808100} is an apocalyptic number.

2714552808100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2714552808100 is the 1647590-th square number.

It is an amenable number.

2714552808100 is an abundant number, since it is smaller than the sum of its proper divisors (4138045207583).

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

2714552808100 is an frugal number, since it uses more digits than its factorization.

2714552808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47102 (or 23551 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 2714552808100 in words is "two trillion, seven hundred fourteen billion, five hundred fifty-two million, eight hundred eight thousand, one hundred".