3000054960 has 480 divisors, whose sum is σ = 11983994880. Its totient is φ = 658409472.

The previous prime is 3000054949. The next prime is 3000055021. The reversal of 3000054960 is 694500003.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23622417 + ... + 23622543.

It is an arithmetic number, because the mean of its divisors is an integer number (24966656).

Almost surely, 2^3000054960 is an apocalyptic number.

3000054960 is a gapful number since it is divisible by the number (30) 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 3000054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991997440).

3000054960 is an abundant number, since it is smaller than the sum of its proper divisors (8983939920).

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

3000054960 is a wasteful number, since it uses less digits than its factorization.

3000054960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3000054960 is about 54772.7574620815. The cubic root of 3000054960 is about 1442.2583775910.

Adding to 3000054960 its reverse (694500003), we get a palindrome (3694554963).

The spelling of 3000054960 in words is "three billion, fifty-four thousand, nine hundred sixty".