2942046329040 has 720 divisors, whose sum is σ = 12399743865600. Its totient is φ = 611984056320.

The previous prime is 2942046328987. The next prime is 2942046329063. The reversal of 2942046329040 is 409236402492.

2942046329040 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 0 + 4 + 632 + 9 + 0 + 4 + 0 = 666.

2942046329040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60450636 + ... + 60499284.

It is an arithmetic number, because the mean of its divisors is an integer number (17221866480).

Almost surely, 2^{2942046329040} is an apocalyptic number.

2942046329040 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 2942046329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199871932800).

2942046329040 is an abundant number, since it is smaller than the sum of its proper divisors (9457697536560).

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

2942046329040 is a wasteful number, since it uses less digits than its factorization.

2942046329040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48772 (or 48750 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2942046329040 in words is "two trillion, nine hundred forty-two billion, forty-six million, three hundred twenty-nine thousand, forty".