2942304151680 has 512 divisors, whose sum is σ = 10536460300800. Its totient is φ = 775940014080.

The previous prime is 2942304151607. The next prime is 2942304151723. The reversal of 2942304151680 is 861514032492.

2942304151680 is a `hidden beast` number, since 2 + 9 + 42 + 30 + 415 + 168 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665225949 + ... + 665230371.

It is an arithmetic number, because the mean of its divisors is an integer number (20579024025).

Almost surely, 2^{2942304151680} is an apocalyptic number.

2942304151680 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 2942304151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268230150400).

2942304151680 is an abundant number, since it is smaller than the sum of its proper divisors (7594156149120).

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

2942304151680 is a wasteful number, since it uses less digits than its factorization.

2942304151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2942304151680 in words is "two trillion, nine hundred forty-two billion, three hundred four million, one hundred fifty-one thousand, six hundred eighty".