2957982720000 has 2240 divisors, whose sum is σ = 12794304112128. Its totient is φ = 589824000000.

The previous prime is 2957982719999. The next prime is 2957982720037. The reversal of 2957982720000 is 272897592.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 48491519970 + ... + 48491520030.

Almost surely, 2^{2957982720000} is an apocalyptic number.

2957982720000 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 2957982720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397152056064).

2957982720000 is an abundant number, since it is smaller than the sum of its proper divisors (9836321392128).

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

2957982720000 is an equidigital number, since it uses as much as digits as its factorization.

2957982720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 2957982720000 in words is "two trillion, nine hundred fifty-seven billion, nine hundred eighty-two million, seven hundred twenty thousand".