2973530304000 has 640 divisors, whose sum is σ = 11027275459200. Its totient is φ = 789870182400.

The previous prime is 2973530303927. The next prime is 2973530304053. The reversal of 2973530304000 is 4030353792.

2973530304000 is a `hidden beast` number, since 2 + 97 + 3 + 530 + 30 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 464828802 + ... + 464835198.

It is an arithmetic number, because the mean of its divisors is an integer number (17230117905).

Almost surely, 2^{2973530304000} is an apocalyptic number.

2973530304000 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 2973530304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513637729600).

2973530304000 is an abundant number, since it is smaller than the sum of its proper divisors (8053745155200).

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

2973530304000 is an equidigital number, since it uses as much as digits as its factorization.

2973530304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

Adding to 2973530304000 its reverse (4030353792), we get a palindrome (2977560657792).

The spelling of 2973530304000 in words is "two trillion, nine hundred seventy-three billion, five hundred thirty million, three hundred four thousand".