2946944000 has 704 divisors, whose sum is σ = 10300372992. Its totient is φ = 811008000.

The previous prime is 2946943991. The next prime is 2946944009. The reversal of 2946944000 is 4496492.

It is an interprime number because it is at equal distance from previous prime (2946943991) and next prime (2946944009).

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946944009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128127989 + ... + 128128011.

Almost surely, 2^2946944000 is an apocalyptic number.

2946944000 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 2946944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150186496).

2946944000 is an abundant number, since it is smaller than the sum of its proper divisors (7353428992).

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

2946944000 is a wasteful number, since it uses less digits than its factorization.

2946944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 2946944000 is about 54285.7624059937. The cubic root of 2946944000 is about 1433.6967289644.

The spelling of 2946944000 in words is "two billion, nine hundred forty-six million, nine hundred forty-four thousand".