2993880960 has 512 divisors, whose sum is σ = 12373171200. Its totient is φ = 669966336.

The previous prime is 2993880947. The next prime is 2993880973. The reversal of 2993880960 is 690883992.

It is an interprime number because it is at equal distance from previous prime (2993880947) and next prime (2993880973).

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 = 2993880897 and 2993880906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6410647 + ... + 6411113.

It is an arithmetic number, because the mean of its divisors is an integer number (24166350).

Almost surely, 2^2993880960 is an apocalyptic number.

2993880960 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 2993880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186585600).

2993880960 is an abundant number, since it is smaller than the sum of its proper divisors (9379290240).

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

2993880960 is a wasteful number, since it uses less digits than its factorization.

2993880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2993880960 is about 54716.3683005369. The cubic root of 2993880960 is about 1441.2683269961.

The spelling of 2993880960 in words is "two billion, nine hundred ninety-three million, eight hundred eighty thousand, nine hundred sixty".