2954304000 has 480 divisors, whose sum is σ = 11153286144. Its totient is φ = 750182400.

The previous prime is 2954303983. The next prime is 2954304019. The reversal of 2954304000 is 4034592.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13247889 + ... + 13248111.

Almost surely, 2^2954304000 is an apocalyptic number.

2954304000 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 2954304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576643072).

2954304000 is an abundant number, since it is smaller than the sum of its proper divisors (8198982144).

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

2954304000 is a wasteful number, since it uses less digits than its factorization.

2954304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2954304000 is about 54353.5095463025. The cubic root of 2954304000 is about 1434.8892904267.

Adding to 2954304000 its reverse (4034592), we get a palindrome (2958338592).

The spelling of 2954304000 in words is "two billion, nine hundred fifty-four million, three hundred four thousand".