2977982081280 has 360 divisors, whose sum is σ = 10732476585600. Its totient is φ = 788411584512.

The previous prime is 2977982081279. The next prime is 2977982081287. The reversal of 2977982081280 is 821802897792.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (2977982081287) 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 39 ways as a sum of consecutive naturals, for example, 14308201 + ... + 14514839.

It is an arithmetic number, because the mean of its divisors is an integer number (29812434960).

Almost surely, 2^{2977982081280} is an apocalyptic number.

2977982081280 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 2977982081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366238292800).

2977982081280 is an abundant number, since it is smaller than the sum of its proper divisors (7754494504320).

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

2977982081280 is a wasteful number, since it uses less digits than its factorization.

2977982081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206811 (or 206788 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 2977982081280 in words is "two trillion, nine hundred seventy-seven billion, nine hundred eighty-two million, eighty-one thousand, two hundred eighty".