2993264064 has 224 divisors, whose sum is σ = 10138867200. Its totient is φ = 848240640.

The previous prime is 2993264039. The next prime is 2993264077. The reversal of 2993264064 is 4604623992.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×2993264064³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583632 + ... + 1585520.

It is an arithmetic number, because the mean of its divisors is an integer number (45262800).

Almost surely, 2^2993264064 is an apocalyptic number.

2993264064 is a gapful number since it is divisible by the number (24) 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 2993264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069433600).

2993264064 is an abundant number, since it is smaller than the sum of its proper divisors (7145603136).

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

2993264064 is a wasteful number, since it uses less digits than its factorization.

2993264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2993264064 is about 54710.7307938763. The cubic root of 2993264064 is about 1441.1693279875.

The spelling of 2993264064 in words is "two billion, nine hundred ninety-three million, two hundred sixty-four thousand, sixty-four".