2808064329984 has 297 divisors, whose sum is σ = 8427244692979. Its totient is φ = 933849699840.

The previous prime is 2808064329913. The next prime is 2808064330069. The reversal of 2808064329984 is 4899234608082.

The square root of 2808064329984 is 1675728.

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

2808064329984 is a `hidden beast` number, since 280 + 8 + 0 + 64 + 3 + 299 + 8 + 4 = 666.

It is a super-4 number, since 4×2808064329984⁴ (a number of 51 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 6515230249 + ... + 6515230679.

Almost surely, 2^{2808064329984} is an apocalyptic number.

2808064329984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2808064329984 is the 1675728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2808064329984

2808064329984 is an abundant number, since it is smaller than the sum of its proper divisors (5619180362995).

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

2808064329984 is an frugal number, since it uses more digits than its factorization.

2808064329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2808064329984 in words is "two trillion, eight hundred eight billion, sixty-four million, three hundred twenty-nine thousand, nine hundred eighty-four".