2993448960 has 336 divisors, whose sum is σ = 10795714020. Its totient is φ = 796262400.

The previous prime is 2993448959. The next prime is 2993448967. The reversal of 2993448960 is 698443992.

2993448960 is a `hidden beast` number, since 29 + 93 + 448 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2777711616 + 215737344 = 52704^2 + 14688^2 .

It is a super-2 number, since 2×2993448960² = 17921473352250163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2993448897 and 2993448906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993448967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464760 + ... + 7465160.

Almost surely, 2^2993448960 is an apocalyptic number.

2993448960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397857010).

2993448960 is an abundant number, since it is smaller than the sum of its proper divisors (7802265060).

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

2993448960 is an frugal number, since it uses more digits than its factorization.

2993448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2993448960 is about 54712.4205277010. The cubic root of 2993448960 is about 1441.1990013866.

The spelling of 2993448960 in words is "two billion, nine hundred ninety-three million, four hundred forty-eight thousand, nine hundred sixty".