2930916960 has 480 divisors, whose sum is σ = 11203248672. Its totient is φ = 718848000.

The previous prime is 2930916941. The next prime is 2930916997. The reversal of 2930916960 is 696190392.

It is a happy number.

2930916960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11676835 + ... + 11677085.

Almost surely, 2^2930916960 is an apocalyptic number.

2930916960 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 2930916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601624336).

2930916960 is an abundant number, since it is smaller than the sum of its proper divisors (8272331712).

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

2930916960 is a wasteful number, since it uses less digits than its factorization.

2930916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 2930916960 is about 54137.9438102335. The cubic root of 2930916960 is about 1431.0929359628.

The spelling of 2930916960 in words is "two billion, nine hundred thirty million, nine hundred sixteen thousand, nine hundred sixty".