2943997092864 has 297 divisors, whose sum is σ = 8671965244059. Its totient is φ = 961950597120.

The previous prime is 2943997092791. The next prime is 2943997092913. The reversal of 2943997092864 is 4682907993492.

The square root of 2943997092864 is 1715808.

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

2943997092864 is a `hidden beast` number, since 2 + 9 + 4 + 399 + 70 + 92 + 86 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8230118400 + 2935766974464 = 90720^2 + 1713408^2 .

It is a super-3 number, since 3×2943997092864³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2943997092792 and 2943997092801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10047771502 + ... + 10047771794.

Almost surely, 2^{2943997092864} is an apocalyptic number.

2943997092864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2943997092864 is the 1715808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2943997092864

2943997092864 is an abundant number, since it is smaller than the sum of its proper divisors (5727968151195).

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

2943997092864 is an frugal number, since it uses more digits than its factorization.

2943997092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 2943997092864 in words is "two trillion, nine hundred forty-three billion, nine hundred ninety-seven million, ninety-two thousand, eight hundred sixty-four".