2944934400 has 240 divisors, whose sum is σ = 9918811584. Its totient is φ = 769966080.

The previous prime is 2944934381. The next prime is 2944934401. The reversal of 2944934400 is 44394492.

It is a happy number.

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 (2944934401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034477 + ... + 2035923.

Almost surely, 2^2944934400 is an apocalyptic number.

2944934400 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 2944934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959405792).

2944934400 is an abundant number, since it is smaller than the sum of its proper divisors (6973877184).

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

2944934400 is a wasteful number, since it uses less digits than its factorization.

2944934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2944934400 is about 54267.2497921168. The cubic root of 2944934400 is about 1433.3707627988.

The spelling of 2944934400 in words is "two billion, nine hundred forty-four million, nine hundred thirty-four thousand, four hundred".