2973325796480 has 256 divisors, whose sum is σ = 8114896742400. Its totient is φ = 1032024686592.

The previous prime is 2973325796479. The next prime is 2973325796503. The reversal of 2973325796480 is 846975233792.

It is a Harshad number since it is a multiple of its sum of digits (65).

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 31 ways as a sum of consecutive naturals, for example, 122050541 + ... + 122074899.

It is an arithmetic number, because the mean of its divisors is an integer number (31698815400).

Almost surely, 2^{2973325796480} is an apocalyptic number.

2973325796480 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 2973325796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057448371200).

2973325796480 is an abundant number, since it is smaller than the sum of its proper divisors (5141570945920).

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

2973325796480 is a wasteful number, since it uses less digits than its factorization.

2973325796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25271 (or 25259 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 65.

The spelling of 2973325796480 in words is "two trillion, nine hundred seventy-three billion, three hundred twenty-five million, seven hundred ninety-six thousand, four hundred eighty".