2684066209344 has 567 divisors, whose sum is σ = 8570592006483. Its totient is φ = 802746667008.

The previous prime is 2684066209309. The next prime is 2684066209379. The reversal of 2684066209344 is 4439026604862.

The square root of 2684066209344 is 1638312.

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

2684066209344 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 0 + 6 + 620 + 9 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2684066209309) and next prime (2684066209379).

It can be written as a sum of positive squares in 4 ways, for example, as 1173408897600 + 1510657311744 = 1083240^2 + 1229088^2 .

It is a super-2 number, since 2×2684066209344² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30158047252 + ... + 30158047340.

Almost surely, 2^{2684066209344} is an apocalyptic number.

2684066209344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2684066209344 is the 1638312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2684066209344

2684066209344 is an abundant number, since it is smaller than the sum of its proper divisors (5886525797139).

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

2684066209344 is an equidigital number, since it uses as much as digits as its factorization.

2684066209344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 2684066209344 in words is "two trillion, six hundred eighty-four billion, sixty-six million, two hundred nine thousand, three hundred forty-four".