2973875072000 has 264 divisors, whose sum is σ = 8630478668448. Its totient is φ = 1019612160000.

The previous prime is 2973875071991. The next prime is 2973875072053. The reversal of 2973875072000 is 2705783792.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 2973875072000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6034925 + ... + 6509075.

Almost surely, 2^{2973875072000} is an apocalyptic number.

2973875072000 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 2973875072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315239334224).

2973875072000 is an abundant number, since it is smaller than the sum of its proper divisors (5656603596448).

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

2973875072000 is an equidigital number, since it uses as much as digits as its factorization.

2973875072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474200 (or 474165 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 2973875072000 in words is "two trillion, nine hundred seventy-three billion, eight hundred seventy-five million, seventy-two thousand".