2973265488000 has 512 divisors, whose sum is σ = 11090282112000. Its totient is φ = 782825472000.

The previous prime is 2973265487971. The next prime is 2973265488007. The reversal of 2973265488000 is 8845623792.

2973265488000 is a `hidden beast` number, since 2 + 9 + 73 + 26 + 548 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×2973265488000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2973265488007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34084440 + ... + 34171560.

It is an arithmetic number, because the mean of its divisors is an integer number (21660707250).

Almost surely, 2^{2973265488000} is an apocalyptic number.

2973265488000 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 2973265488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545141056000).

2973265488000 is an abundant number, since it is smaller than the sum of its proper divisors (8117016624000).

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

2973265488000 is an equidigital number, since it uses as much as digits as its factorization.

2973265488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87238 (or 87210 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2973265488000 in words is "two trillion, nine hundred seventy-three billion, two hundred sixty-five million, four hundred eighty-eight thousand".