2942840586240 has 720 divisors, whose sum is σ = 10493526371328. Its totient is φ = 762599964672.

The previous prime is 2942840586223. The next prime is 2942840586241. The reversal of 2942840586240 is 426850482492.

2942840586240 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 8 + 4 + 0 + 5 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942840586241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4962631384 + ... + 4962631976.

Almost surely, 2^{2942840586240} is an apocalyptic number.

2942840586240 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 2942840586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246763185664).

2942840586240 is an abundant number, since it is smaller than the sum of its proper divisors (7550685785088).

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

2942840586240 is a wasteful number, since it uses less digits than its factorization.

2942840586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2942840586240 in words is "two trillion, nine hundred forty-two billion, eight hundred forty million, five hundred eighty-six thousand, two hundred forty".