2946667920 has 240 divisors, whose sum is σ = 10672227648. Its totient is φ = 670602240.

The previous prime is 2946667897. The next prime is 2946667921. The reversal of 2946667920 is 297666492.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2946667921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3892182 + ... + 3892938.

Almost surely, 2^2946667920 is an apocalyptic number.

2946667920 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 2946667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336113824).

2946667920 is an abundant number, since it is smaller than the sum of its proper divisors (7725559728).

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

2946667920 is a wasteful number, since it uses less digits than its factorization.

2946667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 2946667920 is about 54283.2195065842. The cubic root of 2946667920 is about 1433.6519563282.

The spelling of 2946667920 in words is "two billion, nine hundred forty-six million, six hundred sixty-seven thousand, nine hundred twenty".