2806053816384 has 945 divisors, whose sum is σ = 10310558756667. Its totient is φ = 727514790912.

The previous prime is 2806053816329. The next prime is 2806053816403. The reversal of 2806053816384 is 4836183506082.

The square root of 2806053816384 is 1675128.

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

2806053816384 is a `hidden beast` number, since 2 + 8 + 0 + 60 + 538 + 16 + 38 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1391286302784 + 1414767513600 = 1179528^2 + 1189440^2 .

It is a super-3 number, since 3×2806053816384³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2806053816384.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47560234147 + ... + 47560234205.

Almost surely, 2^{2806053816384} is an apocalyptic number.

2806053816384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2806053816384 is the 1675128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806053816384

2806053816384 is an abundant number, since it is smaller than the sum of its proper divisors (7504504940283).

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

2806053816384 is an frugal number, since it uses more digits than its factorization.

2806053816384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2806053816384 in words is "two trillion, eight hundred six billion, fifty-three million, eight hundred sixteen thousand, three hundred eighty-four".