2933268480 has 336 divisors, whose sum is σ = 10401894360. Its totient is φ = 764411904.

The previous prime is 2933268479. The next prime is 2933268491. The reversal of 2933268480 is 848623392.

It can be written as a sum of positive squares in 4 ways, for example, as 2627997696 + 305270784 = 51264^2 + 17472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26910666 + ... + 26910774.

Almost surely, 2^2933268480 is an apocalyptic number.

2933268480 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 2933268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200947180).

2933268480 is an abundant number, since it is smaller than the sum of its proper divisors (7468625880).

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

2933268480 is a wasteful number, since it uses less digits than its factorization.

2933268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2933268480 is about 54159.6573105850. The cubic root of 2933268480 is about 1431.4755629827.

The spelling of 2933268480 in words is "two billion, nine hundred thirty-three million, two hundred sixty-eight thousand, four hundred eighty".