2941982297280 has 672 divisors, whose sum is σ = 11304230473536. Its totient is φ = 697621413888.

The previous prime is 2941982297273. The next prime is 2941982297291. The reversal of 2941982297280 is 827922891492.

2941982297280 is a `hidden beast` number, since 2 + 9 + 41 + 98 + 229 + 7 + 280 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117511644 + ... + 117536676.

It is an arithmetic number, because the mean of its divisors is an integer number (16821771538).

Almost surely, 2^{2941982297280} is an apocalyptic number.

2941982297280 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 2941982297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652115236768).

2941982297280 is an abundant number, since it is smaller than the sum of its proper divisors (8362248176256).

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

2941982297280 is a wasteful number, since it uses less digits than its factorization.

2941982297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25185 (or 25172 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2941982297280 in words is "two trillion, nine hundred forty-one billion, nine hundred eighty-two million, two hundred ninety-seven thousand, two hundred eighty".