2997408960 has 336 divisors, whose sum is σ = 12690140736. Its totient is φ = 632365056.

The previous prime is 2997408937. The next prime is 2997408979. The reversal of 2997408960 is 698047992.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2997408897 and 2997408906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256362 + ... + 267798.

It is an arithmetic number, because the mean of its divisors is an integer number (37768276).

Almost surely, 2^2997408960 is an apocalyptic number.

2997408960 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 2997408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345070368).

2997408960 is an abundant number, since it is smaller than the sum of its proper divisors (9692731776).

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

2997408960 is a wasteful number, since it uses less digits than its factorization.

2997408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11480 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2997408960 is about 54748.5977902631. The cubic root of 2997408960 is about 1441.8342366764.

The spelling of 2997408960 in words is "two billion, nine hundred ninety-seven million, four hundred eight thousand, nine hundred sixty".