2942144765280 has 720 divisors, whose sum is σ = 12115911676176. Its totient is φ = 670410639360.

The previous prime is 2942144765267. The next prime is 2942144765303. The reversal of 2942144765280 is 825674412492.

2942144765280 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 1 + 44 + 76 + 528 + 0 = 666.

2942144765280 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210191242 + ... + 210205238.

Almost surely, 2^{2942144765280} is an apocalyptic number.

2942144765280 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 2942144765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057955838088).

2942144765280 is an abundant number, since it is smaller than the sum of its proper divisors (9173766910896).

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

2942144765280 is a wasteful number, since it uses less digits than its factorization.

2942144765280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14369 (or 14345 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2942144765280 in words is "two trillion, nine hundred forty-two billion, one hundred forty-four million, seven hundred sixty-five thousand, two hundred eighty".