2993218328464 has 315 divisors, whose sum is σ = 7402710742227. Its totient is φ = 1171922798592.

The previous prime is 2993218328447. The next prime is 2993218328539. The reversal of 2993218328464 is 4648238123992.

The square root of 2993218328464 is 1730092.

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 546872082064 + 2446346246400 = 739508^2 + 1564080^2 .

It is a super-3 number, since 3×2993218328464³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30857920864 + ... + 30857920960.

Almost surely, 2^{2993218328464} is an apocalyptic number.

2993218328464 is the 1730092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993218328464

2993218328464 is an abundant number, since it is smaller than the sum of its proper divisors (4409492413763).

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

2993218328464 is an frugal number, since it uses more digits than its factorization.

2993218328464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 119 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 61.

The spelling of 2993218328464 in words is "two trillion, nine hundred ninety-three billion, two hundred eighteen million, three hundred twenty-eight thousand, four hundred sixty-four".