2968472000 has 448 divisors, whose sum is σ = 8866900224. Its totient is φ = 973209600.

The previous prime is 2968471997. The next prime is 2968472021. The reversal of 2968472000 is 2748692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40663964 + ... + 40664036.

It is an arithmetic number, because the mean of its divisors is an integer number (19792188).

Almost surely, 2^2968472000 is an apocalyptic number.

2968472000 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 2968472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433450112).

2968472000 is an abundant number, since it is smaller than the sum of its proper divisors (5898428224).

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

2968472000 is a wasteful number, since it uses less digits than its factorization.

2968472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2968472000 is about 54483.6856315723. The cubic root of 2968472000 is about 1437.1794067670.

The spelling of 2968472000 in words is "two billion, nine hundred sixty-eight million, four hundred seventy-two thousand".